%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:00 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.90s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n013.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 21:15:35 UTC 2026 % 0.11/0.37 % CPUTime : % 0.20/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.90 % SZS status Unsatisfiable % 0.31/0.90 % SZS output start Proof % 0.31/0.94 ( % 0.31/0.94 (declare-sort $$unsorted 0) % 0.31/0.94 (declare-const tptp.v_a____ $$unsorted) % 0.31/0.94 (declare-const tptp.v_ea______ $$unsorted) % 0.31/0.94 (declare-const tptp.v_T____ $$unsorted) % 0.31/0.94 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.t_a $$unsorted) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.v_r____ $$unsorted) % 0.31/0.94 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.tc_bool $$unsorted) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.v_as____ $$unsorted) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.v_ia______ $$unsorted) % 0.31/0.94 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.tc_nat $$unsorted) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.v_T_H____ $$unsorted) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.31/0.94 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.31/0.94 (declare-const tptp.v_e____ $$unsorted) % 0.31/0.94 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.31/0.94 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.31/0.94 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.v_u____ $$unsorted) % 0.31/0.94 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.v_ua______ $$unsorted) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.v_i____ $$unsorted) % 0.31/0.94 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.94 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.31/0.94 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.31/0.94 (define @t1 () (@var "T_a" $$unsorted)) % 0.31/0.94 (define @t2 () (@var "V_ys" $$unsorted)) % 0.31/0.94 (define @t3 () (@var "V_xs" $$unsorted)) % 0.31/0.94 (define @t4 () (tptp.c_List_Oappend @t3 @t2 @t1)) % 0.31/0.94 (define @t5 () (@var "V_A" $$unsorted)) % 0.31/0.94 (define @t6 () (tptp.c_List_Olistsp @t5 @t4 @t1)) % 0.31/0.94 (define @t7 () (not @t6)) % 0.31/0.94 (define @t8 () (tptp.c_List_Olistsp @t5 @t3 @t1)) % 0.31/0.94 (define @t9 () (tptp.c_List_Olistsp @t5 @t2 @t1)) % 0.31/0.94 (define @t10 () (tptp.c_List_Olist_ONil @t1)) % 0.31/0.94 (define @t11 () (@var "V_rs" $$unsorted)) % 0.31/0.94 (define @t12 () (@var "V_n" $$unsorted)) % 0.31/0.94 (define @t13 () (tptp.c_Lambda_OdB_OVar @t12)) % 0.31/0.94 (define @t14 () (@var "V_b" $$unsorted)) % 0.31/0.94 (define @t15 () (@var "V_c" $$unsorted)) % 0.31/0.94 (define @t16 () (@var "V_a" $$unsorted)) % 0.31/0.94 (define @t17 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.31/0.94 (define @t18 () (tptp.hAPP @t17 @t16)) % 0.31/0.94 (define @t19 () (tptp.hAPP @t18 @t15)) % 0.31/0.94 (define @t20 () (tptp.hAPP @t17 @t19)) % 0.31/0.94 (define @t21 () (tptp.hAPP @t18 @t14)) % 0.31/0.94 (define @t22 () (tptp.hAPP @t17 @t21)) % 0.31/0.94 (define @t23 () (tptp.hAPP @t22 @t15)) % 0.31/0.94 (define @t24 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.31/0.94 (define @t25 () (@list @t1 @t16 @t14 @t15)) % 0.31/0.94 (define @t26 () (@var "V_d" $$unsorted)) % 0.31/0.94 (define @t27 () (tptp.hAPP @t17 @t15)) % 0.31/0.94 (define @t28 () (tptp.hAPP @t27 @t26)) % 0.31/0.94 (define @t29 () (tptp.hAPP @t18 @t28)) % 0.31/0.94 (define @t30 () (@list @t1 @t16 @t15 @t26)) % 0.31/0.94 (define @t31 () (tptp.hAPP @t17 @t14)) % 0.31/0.94 (define @t32 () (tptp.hAPP @t31 @t15)) % 0.31/0.94 (define @t33 () (tptp.hAPP @t18 @t32)) % 0.31/0.94 (define @t34 () (= @t23 @t33)) % 0.31/0.94 (define @t35 () (@var "V_m" $$unsorted)) % 0.31/0.94 (define @t36 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.31/0.94 (define @t37 () (tptp.hAPP @t36 @t35)) % 0.31/0.94 (define @t38 () (tptp.hAPP @t37 @t12)) % 0.31/0.94 (define @t39 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.31/0.94 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t39 @t38 tptp.tc_nat)) % 0.31/0.94 (define @t41 () (tptp.c_HOL_Oord__class_Oless @t39 @t35 tptp.tc_nat)) % 0.31/0.94 (define @t42 () (tptp.c_HOL_Oord__class_Oless @t39 @t12 tptp.tc_nat)) % 0.31/0.94 (define @t43 () (@list @t12 @t35)) % 0.31/0.94 (define @t44 () (@var "V_r" $$unsorted)) % 0.31/0.94 (define @t45 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t16) @t14)))) % 0.31/0.94 (define @t46 () (@var "T_b" $$unsorted)) % 0.31/0.94 (define @t47 () (tptp.c_Predicate_Oconversep @t44 @t1 @t46)) % 0.31/0.94 (define @t48 () (@var "V_a2" $$unsorted)) % 0.31/0.94 (define @t49 () (@var "V_a1" $$unsorted)) % 0.31/0.94 (define @t50 () (tptp.hAPP @t44 @t14)) % 0.31/0.94 (define @t51 () (tptp.hBOOL (tptp.hAPP @t50 @t16))) % 0.31/0.94 (define @t52 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t47 @t16) @t14))) % 0.31/0.94 (define @t53 () (@var "V_x" $$unsorted)) % 0.31/0.94 (define @t54 () (tptp.c_List_Oreplicate @t12 @t53 @t1)) % 0.31/0.94 (define @t55 () (tptp.c_Suc @t12)) % 0.31/0.94 (define @t56 () (@list @t12 @t53 @t1)) % 0.31/0.94 (define @t57 () (@var "V_u" $$unsorted)) % 0.31/0.94 (define @t58 () (@var "V_z" $$unsorted)) % 0.31/0.94 (define @t59 () (tptp.hAPP @t17 @t53)) % 0.31/0.94 (define @t60 () (tptp.hAPP @t59 @t58)) % 0.31/0.94 (define @t61 () (@var "V_y" $$unsorted)) % 0.31/0.94 (define @t62 () (tptp.hAPP @t17 @t61)) % 0.31/0.94 (define @t63 () (tptp.hAPP @t62 @t58)) % 0.31/0.94 (define @t64 () (tptp.hAPP @t59 @t63)) % 0.31/0.94 (define @t65 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.31/0.94 (define @t66 () (@var "V_nat" $$unsorted)) % 0.31/0.94 (define @t67 () (@var "V_f1" $$unsorted)) % 0.31/0.94 (define @t68 () (tptp.hAPP @t67 @t66)) % 0.31/0.94 (define @t69 () (tptp.c_Lambda_OdB_OVar @t66)) % 0.31/0.94 (define @t70 () (@var "V_f3" $$unsorted)) % 0.31/0.94 (define @t71 () (@var "V_f2" $$unsorted)) % 0.31/0.94 (define @t72 () (@list @t67 @t71 @t70 @t66 @t1)) % 0.31/0.94 (define @t73 () (@var "V_Q" $$unsorted)) % 0.31/0.94 (define @t74 () (@var "V_R" $$unsorted)) % 0.31/0.94 (define @t75 () (@var "V_P" $$unsorted)) % 0.31/0.94 (define @t76 () (@var "T_c" $$unsorted)) % 0.31/0.94 (define @t77 () (@var "V_s" $$unsorted)) % 0.31/0.94 (define @t78 () (tptp.c_Lambda_OdB_OVar @t53)) % 0.31/0.94 (define @t79 () (tptp.c_HOL_Oord__class_Oless @t53 @t53 tptp.tc_nat)) % 0.31/0.94 (define @t80 () (@list @t53 @t77)) % 0.31/0.94 (define @t81 () (tptp.c_List_Olist_ONil @t46)) % 0.31/0.94 (define @t82 () (@var "V_f" $$unsorted)) % 0.31/0.94 (define @t83 () (tptp.c_List_Omap @t82 @t81 @t46 @t1)) % 0.31/0.94 (define @t84 () (tptp.c_Suc @t39)) % 0.31/0.94 (define @t85 () (tptp.hAPP @t36 @t39)) % 0.31/0.94 (define @t86 () (tptp.hAPP @t85 @t84)) % 0.31/0.94 (define @t87 () (= @t12 @t39)) % 0.31/0.94 (define @t88 () (= @t12 @t84)) % 0.31/0.94 (define @t89 () (not (= @t84 @t38))) % 0.31/0.94 (define @t90 () (@list @t35 @t12)) % 0.31/0.94 (define @t91 () (= @t35 @t84)) % 0.31/0.94 (define @t92 () (= @t35 @t39)) % 0.31/0.94 (define @t93 () (tptp.hAPP @t37 @t55)) % 0.31/0.94 (define @t94 () (tptp.c_Suc @t35)) % 0.31/0.94 (define @t95 () (tptp.hAPP (tptp.hAPP @t36 @t94) @t12)) % 0.31/0.94 (define @t96 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t44 @t1 @t1) @t1) @t53) @t61))) % 0.31/0.94 (define @t97 () (tptp.c_Transitive__Closure_Ortranclp @t44 @t1)) % 0.31/0.94 (define @t98 () (tptp.hAPP @t97 @t61)) % 0.31/0.94 (define @t99 () (tptp.hBOOL (tptp.hAPP @t98 @t53))) % 0.31/0.94 (define @t100 () (@list @t44 @t1 @t53 @t61)) % 0.31/0.94 (define @t101 () (tptp.c_List_Olist_OCons @t53 @t10 @t1)) % 0.31/0.94 (define @t102 () (tptp.c_List_Oappend @t3 @t101 @t1)) % 0.31/0.94 (define @t103 () (tptp.c_List_Oappend @t2 (tptp.c_List_Olist_OCons @t61 @t10 @t1) @t1)) % 0.31/0.94 (define @t104 () (not (tptp.c_ListOrder_Ostep1 @t44 @t103 @t102 @t1))) % 0.31/0.94 (define @t105 () (tptp.c_ListOrder_Ostep1 @t44 @t2 @t3 @t1)) % 0.31/0.94 (define @t106 () (tptp.hAPP @t44 @t61)) % 0.31/0.94 (define @t107 () (tptp.hBOOL (tptp.hAPP @t106 @t53))) % 0.31/0.94 (define @t108 () (@list @t12)) % 0.31/0.94 (define @t109 () (tptp.c_Suc @t53)) % 0.31/0.94 (define @t110 () (@list @t53)) % 0.31/0.94 (define @t111 () (tptp.c_HOL_Oord__class_Oless @t53 (tptp.c_Orderings_Oord__class_Omax @t16 @t14 @t1) @t1)) % 0.31/0.94 (define @t112 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.31/0.94 (define @t113 () (@list @t1 @t53 @t16 @t14)) % 0.31/0.94 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t58 @t53 @t1)) % 0.31/0.94 (define @t115 () (tptp.c_Orderings_Oord__class_Omax @t53 @t61 @t1)) % 0.31/0.94 (define @t116 () (tptp.c_HOL_Oord__class_Oless @t58 @t115 @t1)) % 0.31/0.94 (define @t117 () (@list @t1 @t58 @t53 @t61)) % 0.31/0.94 (define @t118 () (tptp.c_HOL_Oord__class_Oless @t58 @t61 @t1)) % 0.31/0.94 (define @t119 () (not @t118)) % 0.31/0.94 (define @t120 () (tptp.c_HOL_Oord__class_Oless @t115 @t58 @t1)) % 0.31/0.94 (define @t121 () (not @t120)) % 0.31/0.94 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t53 @t58 @t1)) % 0.31/0.94 (define @t123 () (@list @t1 @t53 @t58 @t61)) % 0.31/0.94 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t61 @t58 @t1)) % 0.31/0.94 (define @t125 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.31/0.94 (define @t126 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.31/0.94 (define @t127 () (@list @t1)) % 0.31/0.94 (define @t128 () (tptp.c_HOL_Oord__class_Oless @t16 @t125 @t1)) % 0.31/0.94 (define @t129 () (not @t128)) % 0.31/0.94 (define @t130 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.31/0.94 (define @t131 () (@list @t1 @t16 @t14)) % 0.31/0.94 (define @t132 () (@var "V_zs" $$unsorted)) % 0.31/0.94 (define @t133 () (@var "V_xa" $$unsorted)) % 0.31/0.94 (define @t134 () (tptp.c_List_Olist_OCons @t53 (tptp.c_List_Oappend @t133 @t132 @t1) @t1)) % 0.31/0.94 (define @t135 () (tptp.c_List_Olist_OCons @t53 @t133 @t1)) % 0.31/0.94 (define @t136 () (tptp.c_List_Oappend @t135 @t132 @t1)) % 0.31/0.94 (define @t137 () (tptp.c_List_Olist_OCons @t53 @t3 @t1)) % 0.31/0.94 (define @t138 () (@var "V_t_H" $$unsorted)) % 0.31/0.94 (define @t139 () (@var "V_t" $$unsorted)) % 0.31/0.94 (define @t140 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t141 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t139) @t138)))) % 0.31/0.94 (define @t142 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t77)) % 0.31/0.94 (define @t143 () (tptp.hAPP @t142 @t139)) % 0.31/0.94 (define @t144 () (tptp.hAPP @t140 @t143)) % 0.31/0.94 (define @t145 () (@var "V_s_H" $$unsorted)) % 0.31/0.94 (define @t146 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t77) @t145)))) % 0.31/0.94 (define @t147 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t145)) % 0.31/0.94 (define @t148 () (tptp.hAPP @t82 @t53)) % 0.31/0.94 (define @t149 () (@var "V_xb" $$unsorted)) % 0.31/0.94 (define @t150 () (tptp.c_List_Omap @t82 @t3 @t46 @t1)) % 0.31/0.94 (define @t151 () (tptp.c_List_Olist_OCons @t53 @t3 @t46)) % 0.31/0.94 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t35 @t12 tptp.tc_nat)) % 0.31/0.94 (define @t153 () (not @t152)) % 0.31/0.94 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t94 @t12 tptp.tc_nat)) % 0.31/0.94 (define @t155 () (= @t61 @t58)) % 0.31/0.94 (define @t156 () (tptp.hAPP @t36 @t53)) % 0.31/0.94 (define @t157 () (tptp.hAPP @t156 @t58)) % 0.31/0.94 (define @t158 () (@list @t53 @t61 @t58)) % 0.31/0.94 (define @t159 () (= @t35 @t12)) % 0.31/0.94 (define @t160 () (@var "V_k" $$unsorted)) % 0.31/0.94 (define @t161 () (tptp.hAPP @t36 @t12)) % 0.31/0.94 (define @t162 () (tptp.hAPP @t161 @t160)) % 0.31/0.94 (define @t163 () (tptp.hAPP @t36 @t160)) % 0.31/0.94 (define @t164 () (tptp.hAPP @t163 @t12)) % 0.31/0.94 (define @t165 () (tptp.hAPP @t163 @t35)) % 0.31/0.94 (define @t166 () (@list @t160 @t35 @t12)) % 0.31/0.94 (define @t167 () (tptp.hAPP @t59 @t61)) % 0.31/0.94 (define @t168 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.31/0.94 (define @t169 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.31/0.94 (define @t170 () (@list @t1 @t53 @t61 @t58)) % 0.31/0.94 (define @t171 () (= @t14 @t15)) % 0.31/0.94 (define @t172 () (not (= @t21 @t19))) % 0.31/0.94 (define @t173 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.31/0.94 (define @t174 () (tptp.hAPP @t27 @t16)) % 0.31/0.94 (define @t175 () (tptp.hAPP @t31 @t16)) % 0.31/0.94 (define @t176 () (@list @t1 @t14 @t16 @t15)) % 0.31/0.94 (define @t177 () (@var "V_xs1" $$unsorted)) % 0.31/0.94 (define @t178 () (@var "V_list_H" $$unsorted)) % 0.31/0.94 (define @t179 () (@var "V_a_H" $$unsorted)) % 0.31/0.94 (define @t180 () (tptp.c_List_Olist_OCons @t179 @t178 @t1)) % 0.31/0.94 (define @t181 () (@var "V_r1" $$unsorted)) % 0.31/0.94 (define @t182 () (@var "V_r0" $$unsorted)) % 0.31/0.94 (define @t183 () (@var "V_pwr" $$unsorted)) % 0.31/0.94 (define @t184 () (@var "V_mul" $$unsorted)) % 0.31/0.94 (define @t185 () (@var "V_add" $$unsorted)) % 0.31/0.94 (define @t186 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t185 @t184 @t183 @t182 @t181 @t1))) % 0.31/0.94 (define @t187 () (@var "V_q" $$unsorted)) % 0.31/0.94 (define @t188 () (tptp.hAPP @t183 @t53)) % 0.31/0.94 (define @t189 () (tptp.hAPP @t188 @t187)) % 0.31/0.94 (define @t190 () (tptp.hAPP @t184 @t189)) % 0.31/0.94 (define @t191 () (tptp.hAPP @t184 @t53)) % 0.31/0.94 (define @t192 () (tptp.hAPP @t191 @t61)) % 0.31/0.94 (define @t193 () (tptp.hAPP @t185 @t61)) % 0.31/0.94 (define @t194 () (tptp.hAPP @t193 @t58)) % 0.31/0.94 (define @t195 () (tptp.hAPP @t184 @t61)) % 0.31/0.94 (define @t196 () (tptp.hAPP @t184 @t181)) % 0.31/0.94 (define @t197 () (tptp.hAPP @t184 @t182)) % 0.31/0.94 (define @t198 () (tptp.hAPP @t185 @t53)) % 0.31/0.94 (define @t199 () (tptp.hAPP @t198 @t61)) % 0.31/0.94 (define @t200 () (@var "V_ts" $$unsorted)) % 0.31/0.94 (define @t201 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.31/0.94 (define @t202 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.31/0.94 (define @t203 () (@list @t35 @t12 @t160)) % 0.31/0.94 (define @t204 () (tptp.hAPP @t36 @t61)) % 0.31/0.94 (define @t205 () (tptp.hAPP @t204 @t58)) % 0.31/0.94 (define @t206 () (tptp.c_HOL_Oord__class_Oless @t61 @t53 @t1)) % 0.31/0.94 (define @t207 () (not @t206)) % 0.31/0.94 (define @t208 () (not (tptp.class_Orderings_Oorder @t1))) % 0.31/0.94 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t53 @t61 @t1)) % 0.31/0.94 (define @t210 () (not @t209)) % 0.31/0.94 (define @t211 () (not @t124)) % 0.31/0.94 (define @t212 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.31/0.94 (define @t213 () (tptp.c_List_Oappend @t3 @t53 @t1)) % 0.31/0.94 (define @t214 () (not @t105)) % 0.31/0.94 (define @t215 () (@var "V_us" $$unsorted)) % 0.31/0.94 (define @t216 () (@var "V_vs" $$unsorted)) % 0.31/0.94 (define @t217 () (tptp.c_Lambda_OdB_OAbs @t77)) % 0.31/0.94 (define @t218 () (@var "V_i" $$unsorted)) % 0.31/0.94 (define @t219 () (tptp.c_HOL_Oord__class_Oless @t160 @t218 tptp.tc_nat)) % 0.31/0.94 (define @t220 () (= @t218 @t160)) % 0.31/0.94 (define @t221 () (tptp.c_Lambda_OdB_OVar @t218)) % 0.31/0.94 (define @t222 () (@list @t218 @t77 @t160)) % 0.31/0.94 (define @t223 () (@var "V_dB" $$unsorted)) % 0.31/0.94 (define @t224 () (tptp.hAPP @t70 @t223)) % 0.31/0.94 (define @t225 () (tptp.c_Lambda_OdB_OAbs @t223)) % 0.31/0.94 (define @t226 () (@list @t67 @t71 @t70 @t223 @t1)) % 0.31/0.94 (define @t227 () (tptp.hAPP (tptp.hAPP @t36 @t84) @t39)) % 0.31/0.94 (define @t228 () (not (tptp.c_ListOrder_Ostep1 @t44 (tptp.c_List_Olist_OCons @t61 @t2 @t1) @t137 @t1))) % 0.31/0.94 (define @t229 () (= @t3 @t2)) % 0.31/0.94 (define @t230 () (= @t53 @t61)) % 0.31/0.94 (define @t231 () (tptp.c_List_Oreplicate @t35 @t53 @t1)) % 0.31/0.94 (define @t232 () (not (= @t231 (tptp.c_List_Oreplicate @t12 @t61 @t1)))) % 0.31/0.94 (define @t233 () (@list @t35 @t53 @t1 @t12 @t61)) % 0.31/0.94 (define @t234 () (= @t2 @t132)) % 0.31/0.94 (define @t235 () (@list @t3 @t2 @t1 @t132)) % 0.31/0.94 (define @t236 () (tptp.hAPP @t97 @t16)) % 0.31/0.94 (define @t237 () (tptp.hAPP @t97 @t53)) % 0.31/0.94 (define @t238 () (tptp.c_Wellfounded_Oaccp @t44 @t16 @t1)) % 0.31/0.94 (define @t239 () (not @t238)) % 0.31/0.94 (define @t240 () (tptp.hAPP @t97 @t14)) % 0.31/0.94 (define @t241 () (not (tptp.hBOOL (tptp.hAPP @t240 @t16)))) % 0.31/0.94 (define @t242 () (tptp.c_Wellfounded_Oaccp @t44 @t14 @t1)) % 0.31/0.94 (define @t243 () (@list @t44 @t14 @t1 @t16)) % 0.31/0.94 (define @t244 () (tptp.hBOOL (tptp.hAPP @t237 @t61))) % 0.31/0.94 (define @t245 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t139)))) % 0.31/0.94 (define @t246 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t247 () (@list @t139)) % 0.31/0.94 (define @t248 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t44))) % 0.31/0.94 (define @t249 () (@list @t44)) % 0.31/0.94 (define @t250 () (not (tptp.class_Power_Opower @t1))) % 0.31/0.94 (define @t251 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.31/0.94 (define @t252 () (@list @t1 @t12)) % 0.31/0.94 (define @t253 () (tptp.c_Suc @t38)) % 0.31/0.94 (define @t254 () (tptp.hAPP @t36 @t218)) % 0.31/0.94 (define @t255 () (@list @t218 @t35)) % 0.31/0.94 (define @t256 () (tptp.c_List_Oappend @t3 @t10 @t1)) % 0.31/0.94 (define @t257 () (@list @t3 @t1)) % 0.31/0.94 (define @t258 () (@list @t53 @t1)) % 0.31/0.94 (define @t259 () (tptp.c_List_Oappend @t10 @t2 @t1)) % 0.31/0.94 (define @t260 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t44) @t77)))) % 0.31/0.94 (define @t261 () (tptp.hAPP tptp.c_Lambda_Osubst @t139)) % 0.31/0.94 (define @t262 () (tptp.hAPP @t261 @t77)) % 0.31/0.94 (define @t263 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 (tptp.hAPP (tptp.hAPP @t261 @t44) @t218)) (tptp.hAPP @t262 @t218)))) % 0.31/0.94 (define @t264 () (@list @t139 @t44 @t218 @t77)) % 0.31/0.94 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t53 @t61 tptp.tc_nat)) % 0.31/0.94 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t53 @t205 tptp.tc_nat)) % 0.31/0.94 (define @t267 () (@var "V_j" $$unsorted)) % 0.31/0.94 (define @t268 () (tptp.hAPP @t254 @t267)) % 0.31/0.94 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t218 @t160 tptp.tc_nat)) % 0.31/0.94 (define @t270 () (@list @t218 @t160 @t267)) % 0.31/0.94 (define @t271 () (not (tptp.c_HOL_Oord__class_Oless @t218 @t267 tptp.tc_nat))) % 0.31/0.94 (define @t272 () (tptp.hAPP @t36 @t267)) % 0.31/0.94 (define @t273 () (tptp.hAPP @t161 @t35)) % 0.31/0.94 (define @t274 () (@var "V_l" $$unsorted)) % 0.31/0.94 (define @t275 () (not (tptp.c_HOL_Oord__class_Oless @t160 @t274 tptp.tc_nat))) % 0.31/0.94 (define @t276 () (@list @t1 @t53 @t61)) % 0.31/0.94 (define @t277 () (tptp.c_List_Oappend @t3 @t2 @t46)) % 0.31/0.94 (define @t278 () (= @t61 @t53)) % 0.31/0.94 (define @t279 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t12 @t1)) % 0.31/0.94 (define @t280 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t35 @t1)) % 0.31/0.94 (define @t281 () (@list @t1 @t35 @t12)) % 0.31/0.94 (define @t282 () (= @t3 @t81)) % 0.31/0.94 (define @t283 () (@var "V_p" $$unsorted)) % 0.31/0.94 (define @t284 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t44) @t77)))) % 0.31/0.94 (define @t285 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t77) @t139)) % 0.31/0.94 (define @t286 () (tptp.hAPP @t285 @t218)) % 0.31/0.94 (define @t287 () (tptp.hAPP tptp.c_Lambda_Osubst @t44)) % 0.31/0.94 (define @t288 () (tptp.hAPP (tptp.hAPP @t287 @t139) @t218)) % 0.31/0.94 (define @t289 () (@list @t44 @t139 @t218 @t77)) % 0.31/0.94 (define @t290 () (tptp.c_Lambda_Oliftn @t12 @t139 @t160)) % 0.31/0.94 (define @t291 () (@var "V_nat_H" $$unsorted)) % 0.31/0.94 (define @t292 () (= @t66 @t291)) % 0.31/0.94 (define @t293 () (tptp.c_Suc @t291)) % 0.31/0.94 (define @t294 () (@list @t66 @t291)) % 0.31/0.94 (define @t295 () (tptp.c_List_Ofoldl @t17 @t16 @t3 @t1 @t1)) % 0.31/0.94 (define @t296 () (@var "V_dB_H" $$unsorted)) % 0.31/0.94 (define @t297 () (tptp.c_Lambda_OdB_OAbs @t296)) % 0.31/0.94 (define @t298 () (tptp.hAPP @t18 @t16)) % 0.31/0.94 (define @t299 () (tptp.c_HOL_Oord__class_Oless @t298 @t125 @t1)) % 0.31/0.94 (define @t300 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.31/0.94 (define @t301 () (@list @t1 @t16)) % 0.31/0.94 (define @t302 () (not @t299)) % 0.31/0.94 (define @t303 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.31/0.94 (define @t304 () (tptp.c_HOL_Oord__class_Oless @t125 @t16 @t1)) % 0.31/0.94 (define @t305 () (not @t304)) % 0.31/0.94 (define @t306 () (tptp.c_Power_Opower__class_Opower @t16 @t12 @t1)) % 0.31/0.94 (define @t307 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.31/0.94 (define @t308 () (@list @t1 @t16 @t12)) % 0.31/0.94 (define @t309 () (tptp.hAPP tptp.c_Lambda_Olift @t139)) % 0.31/0.94 (define @t310 () (tptp.hAPP @t309 @t218)) % 0.31/0.94 (define @t311 () (@list @t139 @t218)) % 0.31/0.94 (define @t312 () (= @t3 @t10)) % 0.31/0.94 (define @t313 () (not (= @t10 @t4))) % 0.31/0.94 (define @t314 () (@list @t1 @t3 @t2)) % 0.31/0.94 (define @t315 () (= @t2 @t10)) % 0.31/0.94 (define @t316 () (not (= @t4 @t10))) % 0.31/0.94 (define @t317 () (@list @t3 @t2 @t1)) % 0.31/0.94 (define @t318 () (tptp.c_fequal @t1)) % 0.31/0.94 (define @t319 () (tptp.c_HOL_Oord__class_Oless @t35 @t55 tptp.tc_nat)) % 0.31/0.94 (define @t320 () (tptp.c_HOL_Oord__class_Oless @t12 @t35 tptp.tc_nat)) % 0.31/0.94 (define @t321 () (tptp.c_HOL_Oord__class_Oless @t12 @t94 tptp.tc_nat)) % 0.31/0.94 (define @t322 () (not @t321)) % 0.31/0.94 (define @t323 () (tptp.c_List_Oreplicate @t39 @t53 @t1)) % 0.31/0.94 (define @t324 () (@list @t1 @t53)) % 0.31/0.94 (define @t325 () (not (tptp.c_HOL_Oord__class_Oless @t53 @t53 @t1))) % 0.31/0.94 (define @t326 () (tptp.c_Lambda_Oliftn @t12 @t221 @t160)) % 0.31/0.94 (define @t327 () (@list @t12 @t218 @t160)) % 0.31/0.94 (define @t328 () (tptp.hAPP @t185 @t182)) % 0.31/0.94 (define @t329 () (tptp.hAPP @t185 @t16)) % 0.31/0.94 (define @t330 () (tptp.hAPP @t329 @t15)) % 0.31/0.94 (define @t331 () (tptp.hAPP @t185 @t330)) % 0.31/0.94 (define @t332 () (tptp.hAPP @t185 @t15)) % 0.31/0.94 (define @t333 () (tptp.hAPP @t332 @t26)) % 0.31/0.94 (define @t334 () (tptp.hAPP @t329 @t333)) % 0.31/0.94 (define @t335 () (@list @t185 @t16 @t15 @t26 @t184 @t183 @t182 @t181 @t1)) % 0.31/0.94 (define @t336 () (tptp.hAPP @t329 @t14)) % 0.31/0.94 (define @t337 () (tptp.hAPP @t185 @t336)) % 0.31/0.94 (define @t338 () (tptp.hAPP @t337 @t15)) % 0.31/0.94 (define @t339 () (@list @t185 @t16 @t14 @t15 @t184 @t183 @t182 @t181 @t1)) % 0.31/0.94 (define @t340 () (tptp.hAPP @t185 @t14)) % 0.31/0.94 (define @t341 () (@var "V_ry" $$unsorted)) % 0.31/0.94 (define @t342 () (@var "V_lx" $$unsorted)) % 0.31/0.94 (define @t343 () (tptp.hAPP @t184 @t342)) % 0.31/0.94 (define @t344 () (@var "V_rx" $$unsorted)) % 0.31/0.94 (define @t345 () (tptp.hAPP @t184 @t344)) % 0.31/0.94 (define @t346 () (tptp.hAPP @t345 @t341)) % 0.31/0.94 (define @t347 () (tptp.hAPP @t343 @t346)) % 0.31/0.94 (define @t348 () (@list @t184 @t342 @t344 @t341 @t185 @t183 @t182 @t181 @t1)) % 0.31/0.94 (define @t349 () (tptp.hAPP @t184 (tptp.hAPP @t343 @t344))) % 0.31/0.94 (define @t350 () (@var "V_ly" $$unsorted)) % 0.31/0.94 (define @t351 () (tptp.hAPP @t184 @t350)) % 0.31/0.94 (define @t352 () (tptp.hAPP @t184 (tptp.hAPP @t343 @t350))) % 0.31/0.94 (define @t353 () (tptp.hAPP @t352 @t344)) % 0.31/0.94 (define @t354 () (@list @t184 @t342 @t350 @t344 @t185 @t183 @t182 @t181 @t1)) % 0.31/0.94 (define @t355 () (tptp.hAPP @t352 @t346)) % 0.31/0.94 (define @t356 () (@list @t184 @t342 @t350 @t344 @t341 @t185 @t183 @t182 @t181 @t1)) % 0.31/0.94 (define @t357 () (tptp.hAPP @t184 @t16)) % 0.31/0.94 (define @t358 () (tptp.hAPP @t184 @t14)) % 0.31/0.94 (define @t359 () (tptp.hAPP @t184 @t336)) % 0.31/0.94 (define @t360 () (tptp.hAPP @t185 @t35)) % 0.31/0.94 (define @t361 () (tptp.hAPP (tptp.hAPP @t184 (tptp.hAPP @t329 @t181)) @t35)) % 0.31/0.94 (define @t362 () (tptp.hAPP @t357 @t35)) % 0.31/0.94 (define @t363 () (tptp.hAPP @t185 @t362)) % 0.31/0.94 (define @t364 () (not (= @t38 @t84))) % 0.31/0.94 (define @t365 () (not @t248)) % 0.31/0.94 (define @t366 () (tptp.c_Lambda_OdB_OAbs @t44)) % 0.31/0.94 (define @t367 () (tptp.hAPP @t31 @t26)) % 0.31/0.94 (define @t368 () (not @t269)) % 0.31/0.94 (define @t369 () (@var "V_T" $$unsorted)) % 0.31/0.94 (define @t370 () (@var "V_e" $$unsorted)) % 0.31/0.94 (define @t371 () (not (tptp.c_Type_Otyping @t370 @t139 @t369))) % 0.31/0.94 (define @t372 () (tptp.c_Type_Otyping @t370 @t138 @t369)) % 0.31/0.94 (define @t373 () (@list @t370 @t138 @t369 @t139)) % 0.31/0.94 (define @t374 () (@var "V_Ts" $$unsorted)) % 0.31/0.94 (define @t375 () (not (tptp.c_Type_Otypings @t370 @t200 @t374))) % 0.31/0.94 (define @t376 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t218 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t377 () (@var "V_U" $$unsorted)) % 0.31/0.94 (define @t378 () (tptp.c_Type_Oshift @t370 @t218 @t377 tptp.tc_Type_Otype)) % 0.31/0.94 (define @t379 () (tptp.hAPP tptp.c_Lambda_Olift @t77)) % 0.31/0.94 (define @t380 () (tptp.hAPP @t379 @t218)) % 0.31/0.94 (define @t381 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t44) @t218)) % 0.31/0.94 (define @t382 () (@list @t44 @t218 @t77)) % 0.31/0.94 (define @t383 () (tptp.c_HOL_Oord__class_Oless @t53 @t109 tptp.tc_nat)) % 0.31/0.94 (define @t384 () (tptp.c_List_Oappend @t10 @t137 @t1)) % 0.31/0.94 (define @t385 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.31/0.94 (define @t386 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t139)) % 0.31/0.94 (define @t387 () (= @t2 @t3)) % 0.31/0.94 (define @t388 () (tptp.c_Orderings_Oord__class_Omax @t53 (tptp.c_Orderings_Oord__class_Omax @t61 @t58 @t1) @t1)) % 0.31/0.94 (define @t389 () (tptp.c_List_Oappend @t10 @t10 @t1)) % 0.31/0.94 (define @t390 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t77) @t139)))) % 0.31/0.94 (define @t391 () (tptp.c_Lambda_OdB_OAbs @t139)) % 0.31/0.94 (define @t392 () (@list @t77 @t139)) % 0.31/0.94 (define @t393 () (tptp.c_List_Oreplicate @t218 @t53 @t1)) % 0.31/0.94 (define @t394 () (@var "V_plus" $$unsorted)) % 0.31/0.94 (define @t395 () (@var "V_zero" $$unsorted)) % 0.31/0.94 (define @t396 () (not (tptp.c_OrderedGroup_Omonoid__add @t395 @t394 @t1))) % 0.31/0.94 (define @t397 () (tptp.hAPP @t394 @t16)) % 0.31/0.94 (define @t398 () (tptp.c_HOL_Oord__class_Oless @t94 @t55 tptp.tc_nat)) % 0.31/0.94 (define @t399 () (not @t42)) % 0.31/0.94 (define @t400 () (tptp.c_HOL_Oord__class_Oless @t125 @t298 @t1)) % 0.31/0.94 (define @t401 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t221 @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t402 () (not (tptp.c_Type_Otyping @t370 @t401 @t369))) % 0.31/0.94 (define @t403 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t369 @t370 @t218 @t200)) % 0.31/0.94 (define @t404 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t57 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t218 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t405 () (= @t16 @t125)) % 0.31/0.94 (define @t406 () (not (= @t306 @t125))) % 0.31/0.94 (define @t407 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.31/0.94 (define @t408 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.31/0.94 (define @t409 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.31/0.94 (define @t410 () (tptp.hAPP @t17 @t125)) % 0.31/0.94 (define @t411 () (= (tptp.hAPP @t410 @t16) @t16)) % 0.31/0.94 (define @t412 () (= (tptp.hAPP @t18 @t125) @t16)) % 0.31/0.94 (define @t413 () (@list @t35)) % 0.31/0.94 (define @t414 () (@list @t291)) % 0.31/0.94 (define @t415 () (not (= @t38 @t39))) % 0.31/0.94 (define @t416 () (@list @t44 @t2 @t3 @t1 @t61 @t53)) % 0.31/0.94 (define @t417 () (not (tptp.c_OrderedGroup_Osemigroup__add @t394 @t1))) % 0.31/0.94 (define @t418 () (tptp.c_List_Olistsum @t3 @t1)) % 0.31/0.94 (define @t419 () (@list @t1 @t53 @t3)) % 0.31/0.94 (define @t420 () (@list @t1 @t61 @t53)) % 0.31/0.94 (define @t421 () (tptp.c_List_Oreplicate @t160 @t53 @t1)) % 0.31/0.94 (define @t422 () (tptp.c_HOL_Oord__class_Oless @t16 @t14 @t1)) % 0.31/0.94 (define @t423 () (not @t422)) % 0.31/0.94 (define @t424 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.31/0.94 (define @t425 () (tptp.hAPP @t254 @t160)) % 0.31/0.94 (define @t426 () (tptp.c_HOL_Oord__class_Oless @t280 @t279 @t1)) % 0.31/0.94 (define @t427 () (tptp.c_Suc @t218)) % 0.31/0.94 (define @t428 () (tptp.c_List_Ofoldr @t17 @t3 @t125 @t1 @t1)) % 0.31/0.94 (define @t429 () (@list @t1 @t3)) % 0.31/0.94 (define @t430 () (tptp.hAPP @t188 (tptp.c_Suc @t187))) % 0.31/0.94 (define @t431 () (tptp.hAPP @t191 @t189)) % 0.31/0.94 (define @t432 () (tptp.c_HOL_Oord__class_Oless @t125 @t279 @t1)) % 0.31/0.94 (define @t433 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t139 @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t434 () (not (tptp.class_OrderedGroup_Osemigroup__add @t1))) % 0.31/0.94 (define @t435 () (not (tptp.c_Type_Otyping @t370 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t401 @t215 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t369))) % 0.31/0.94 (define @t436 () (not (tptp.c_Type_Otyping @t370 @t401 @t377))) % 0.31/0.94 (define @t437 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t369 @t377 @t370 @t215)) % 0.31/0.94 (define @t438 () (not (tptp.c_HOL_Oord__class_Oless @t267 @t218 tptp.tc_nat))) % 0.31/0.94 (define @t439 () (tptp.c_Lambda_OdB_OVar @t267)) % 0.31/0.94 (define @t440 () (@var "V_type2_H" $$unsorted)) % 0.31/0.94 (define @t441 () (@var "V_type2" $$unsorted)) % 0.31/0.94 (define @t442 () (@var "V_type1_H" $$unsorted)) % 0.31/0.94 (define @t443 () (@var "V_type1" $$unsorted)) % 0.31/0.94 (define @t444 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t443) @t441) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t442) @t440)))) % 0.31/0.94 (define @t445 () (@list @t443 @t441 @t442 @t440)) % 0.31/0.94 (define @t446 () (tptp.c_HOL_Oord__class_Oless @t19 @t32 @t1)) % 0.31/0.94 (define @t447 () (@list @t1 @t16 @t15 @t14)) % 0.31/0.94 (define @t448 () (tptp.c_HOL_Oord__class_Oless @t174 (tptp.hAPP @t27 @t14) @t1)) % 0.31/0.94 (define @t449 () (@list @t1 @t15 @t16 @t14)) % 0.31/0.94 (define @t450 () (tptp.c_HOL_Oord__class_Oless @t165 @t164 tptp.tc_nat)) % 0.31/0.94 (define @t451 () (@var "V_list" $$unsorted)) % 0.31/0.94 (define @t452 () (not (= (tptp.c_List_Olist_OCons @t16 @t451 @t1) @t180))) % 0.31/0.94 (define @t453 () (@list @t16 @t451 @t1 @t179 @t178)) % 0.31/0.94 (define @t454 () (not (tptp.c_Type_Otyping @t370 @t391 @t369))) % 0.31/0.94 (define @t455 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t369 @t370 @t139)) % 0.31/0.94 (define @t456 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t369 @t370 @t139)) % 0.31/0.94 (define @t457 () (@var "V_xd" $$unsorted)) % 0.31/0.94 (define @t458 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.31/0.94 (define @t459 () (not (= @t102 @t103))) % 0.31/0.94 (define @t460 () (@list @t3 @t53 @t1 @t2 @t61)) % 0.31/0.94 (define @t461 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t16 @t1))) % 0.31/0.94 (define @t462 () (tptp.hBOOL (tptp.hAPP @t236 @t15))) % 0.31/0.94 (define @t463 () (@list @t44 @t1 @t16 @t15 @t14)) % 0.31/0.94 (define @t464 () (tptp.c_List_Ofoldl @t17 @t125 @t3 @t1 @t1)) % 0.31/0.94 (define @t465 () (@var "V_dB2" $$unsorted)) % 0.31/0.94 (define @t466 () (@var "V_dB1" $$unsorted)) % 0.31/0.94 (define @t467 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t466) @t465)) % 0.31/0.94 (define @t468 () (@var "V_xc" $$unsorted)) % 0.31/0.94 (define @t469 () (tptp.hAPP (tptp.hAPP @t71 @t466) @t465)) % 0.31/0.94 (define @t470 () (@var "V_dB2_H" $$unsorted)) % 0.31/0.94 (define @t471 () (@var "V_dB1_H" $$unsorted)) % 0.31/0.94 (define @t472 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t471) @t470)) % 0.31/0.94 (define @t473 () (tptp.hAPP @t309 @t160)) % 0.31/0.94 (define @t474 () (@list @t67 @t71 @t70 @t466 @t465 @t1)) % 0.31/0.94 (define @t475 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t57)) % 0.31/0.94 (define @t476 () (tptp.hAPP @t386 @t57)) % 0.31/0.94 (define @t477 () (@list @t139 @t57 @t77 @t160)) % 0.31/0.94 (define @t478 () (@var "V_ss" $$unsorted)) % 0.31/0.94 (define @t479 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t366) @t77) @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t480 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t287 @t77) @t39) @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t481 () (@list @t44 @t77 @t478)) % 0.31/0.94 (define @t482 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t77 @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t483 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t44 @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t484 () (@list @t44 @t478 @t77)) % 0.31/0.94 (define @t485 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t486 () (= @t478 @t485)) % 0.31/0.94 (define @t487 () (not (= @t366 @t482))) % 0.31/0.94 (define @t488 () (tptp.c_Lambda_OdB_OVar @t35)) % 0.31/0.94 (define @t489 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t366 @t485 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t490 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t44) @t77)) % 0.31/0.94 (define @t491 () (not (= @t482 @t366))) % 0.31/0.94 (define @t492 () (@list @t77 @t478 @t44)) % 0.31/0.94 (define @t493 () (not (= @t488 @t482))) % 0.31/0.94 (define @t494 () (@list @t35 @t77 @t478)) % 0.31/0.94 (define @t495 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t13 @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t496 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t217) @t139)) % 0.31/0.94 (define @t497 () (tptp.hAPP @t394 @t53)) % 0.31/0.94 (define @t498 () (tptp.hAPP (tptp.hAPP @t261 @t57) @t218)) % 0.31/0.94 (define @t499 () (not (tptp.c_Type_Otyping @t370 @t476 @t369))) % 0.31/0.94 (define @t500 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t369 @t370 @t139 @t57)) % 0.31/0.94 (define @t501 () (tptp.c_Type_Otyping @t370 @t433 @t369)) % 0.31/0.94 (define @t502 () (not @t501)) % 0.31/0.94 (define @t503 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t369 @t370 @t139 @t200)) % 0.31/0.94 (define @t504 () (@list @t370 @t139 @t369 @t200)) % 0.31/0.94 (define @t505 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t369 @t370 @t139 @t200)) % 0.31/0.94 (define @t506 () (forall @t373 (or @t372 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t139) @t138))) @t371))) % 0.31/0.94 (define @t507 () (@var "V_env" $$unsorted)) % 0.31/0.94 (define @t508 () (@list @t370 @t200 @t369 @t139)) % 0.31/0.94 (define @t509 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t369) @t377)) % 0.31/0.94 (define @t510 () (= (tptp.c_Power_Opower__class_Opower @t125 @t12 @t1) @t125)) % 0.31/0.94 (define @t511 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t488 @t11 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t495))) % 0.31/0.94 (define @t512 () (@list @t35 @t11 @t12 @t478)) % 0.31/0.94 (define @t513 () (= @t11 @t478)) % 0.31/0.94 (define @t514 () (= @t44 @t77)) % 0.31/0.94 (define @t515 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t366 @t11 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t217 @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.94 (define @t516 () (@list @t44 @t11 @t77 @t478)) % 0.31/0.94 (define @t517 () (@var "V_Ta" $$unsorted)) % 0.31/0.94 (define @t518 () (@var "V_T2" $$unsorted)) % 0.31/0.94 (define @t519 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t57)))) % 0.31/0.94 (define @t520 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t498))) % 0.31/0.94 (define @t521 () (@var "V_T1" $$unsorted)) % 0.31/0.94 (define @t522 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t521) @t518)))) % 0.31/0.94 (define @t523 () (@list @t521 @t518 @t139 @t57 @t218 @t370 @t517)) % 0.31/0.94 (define @t524 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs tptp.v_r____)) tptp.v_a____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t525 () (@var "V_T_H" $$unsorted)) % 0.31/0.94 (define @t526 () (tptp.c_Type_Oshift @t370 @t218 tptp.v_T____ tptp.tc_Type_Otype)) % 0.31/0.94 (define @t527 () (not (tptp.c_Type_Otyping @t370 @t57 tptp.v_T____))) % 0.31/0.94 (define @t528 () (@list @t57 @t218 @t370 @t525)) % 0.31/0.94 (define @t529 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_r____) tptp.v_a____) @t39) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.31/0.94 (define @t530 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.31/0.94 (define @t531 () (tptp.c_Type_Otyping @t530 @t524 tptp.v_T_H____)) % 0.31/0.94 (define @t532 () (not (= @t467 @t472))) % 0.31/0.94 (define @t533 () (@list @t466 @t465 @t471 @t470)) % 0.31/0.94 (define @t534 () (@var "V_e_H" $$unsorted)) % 0.31/0.94 (define @t535 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t524) @t529))) % 0.31/0.94 (define @t536 () (tptp.c_Type_Otyping @t530 @t529 tptp.v_T_H____)) % 0.31/0.94 (define @t537 () (@var "T_1" $$unsorted)) % 0.31/0.94 (define @t538 () (@var "T_2" $$unsorted)) % 0.31/0.94 (define @t539 () (tptp.tc_fun @t538 @t537)) % 0.31/0.94 (define @t540 () (@list @t538 @t537)) % 0.31/0.94 (define @t541 () (@var "V_Y" $$unsorted)) % 0.31/0.94 (define @t542 () (@var "V_X" $$unsorted)) % 0.31/0.94 (define @t543 () (not @t531)) % 0.31/0.94 (define @t544 () (not @t535)) % 0.31/0.94 (define @t545 () (or @t536 @t544 @t543)) % 0.31/0.94 (define @t546 () (not @t545)) % 0.31/0.94 (assume @p1 (forall (@list @t5 @t3 @t1 @t2) (or @t8 @t7))) % 0.31/0.94 (assume @p2 (forall (@list @t5 @t2 @t1 @t3) (or @t9 @t7))) % 0.31/0.94 (assume @p3 (forall (@list @t5 @t1) (tptp.c_List_Olistsp @t5 @t10 @t1))) % 0.31/0.94 (assume @p4 (forall (@list @t5 @t3 @t2 @t1) (or @t6 (not @t9) (not @t8)))) % 0.31/0.94 (assume @p5 (forall (@list @t12 @t11) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t13 @t11 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t11 tptp.tc_Lambda_OdB))))) % 0.31/0.94 (assume @p6 (forall @t25 (or @t24 (= @t23 (tptp.hAPP @t20 @t14))))) % 0.31/0.94 (assume @p7 (forall @t30 (or @t24 (= @t29 (tptp.hAPP @t27 (tptp.hAPP @t18 @t26)))))) % 0.31/0.94 (assume @p8 (forall @t25 (or @t24 @t34))) % 0.31/0.94 (assume @p9 (forall @t43 (or @t42 @t41 (not @t40)))) % 0.31/0.94 (assume @p10 (forall (@list @t44 @t1 @t46 @t14 @t16) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t47 @t14) @t16)) @t45))) % 0.31/0.94 (assume @p11 (forall (@list @t44 @t48 @t49 @t1 @t46) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t48) @t49)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t47 @t49) @t48)))))) % 0.31/0.94 (assume @p12 (forall (@list @t44 @t1 @t46 @t16 @t14) (or @t52 (not @t51)))) % 0.31/0.94 (assume @p13 (forall (@list @t44 @t14 @t16 @t1 @t46) (or @t51 (not @t52)))) % 0.31/0.94 (assume @p14 (forall @t56 (= (tptp.c_List_Oreplicate @t55 @t53 @t1) (tptp.c_List_Olist_OCons @t53 @t54 @t1)))) % 0.31/0.94 (assume @p15 (forall (@list @t1 @t53 @t61 @t58 @t57) (or @t65 (not (= @t64 (tptp.hAPP @t62 @t57))) (= @t60 @t57)))) % 0.31/0.94 (assume @p16 (forall @t72 (= (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 @t69 @t1) @t68))) % 0.31/0.94 (assume @p17 (forall (@list @t75 @t73 @t46 @t76 @t1 @t74) (= (tptp.hAPP (tptp.c_COMBC @t75 @t73 @t46 @t76 @t1) @t74) (tptp.hAPP (tptp.hAPP @t75 @t74) @t73)))) % 0.31/0.94 (assume @p18 (forall @t80 (or @t79 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t78) @t77) @t53) @t77)))) % 0.31/0.94 (assume @p19 (forall (@list @t82 @t46 @t16 @t1) (= (tptp.c_List_Ofoldr @t82 @t81 @t16 @t46 @t1) @t16))) % 0.31/0.94 (assume @p20 (forall (@list @t82 @t46 @t1) (= @t83 @t10))) % 0.31/0.94 (assume @p21 (= @t84 @t86)) % 0.31/0.94 (assume @p22 (forall @t90 (or @t89 @t88 @t87))) % 0.31/0.94 (assume @p23 (forall @t90 (or @t89 @t92 @t91))) % 0.31/0.94 (assume @p24 (forall @t90 (= @t95 @t93))) % 0.31/0.94 (assume @p25 (forall (@list @t44 @t1 @t61 @t53) (or @t99 (not @t96)))) % 0.31/0.94 (assume @p26 (forall @t100 (or @t96 (not @t99)))) % 0.31/0.94 (assume @p27 (forall (@list @t44 @t61 @t53 @t2 @t3 @t1) (or @t107 @t105 @t104))) % 0.31/0.94 (assume @p28 (forall @t108 (tptp.c_HOL_Oord__class_Oless @t39 @t55 tptp.tc_nat))) % 0.31/0.94 (assume @p29 (forall @t110 (tptp.c_HOL_Oord__class_Oless @t39 @t109 tptp.tc_nat))) % 0.31/0.94 (assume @p30 (forall @t113 (or @t112 @t111 (not (tptp.c_HOL_Oord__class_Oless @t53 @t16 @t1))))) % 0.31/0.94 (assume @p31 (forall @t113 (or @t112 @t111 (not (tptp.c_HOL_Oord__class_Oless @t53 @t14 @t1))))) % 0.31/0.94 (assume @p32 (forall @t117 (or @t112 @t116 (not @t114)))) % 0.31/0.94 (assume @p33 (forall @t117 (or @t112 @t116 @t119))) % 0.31/0.94 (assume @p34 (forall @t123 (or @t112 @t122 @t121))) % 0.31/0.94 (assume @p35 (forall (@list @t1 @t61 @t58 @t53) (or @t112 @t124 @t121))) % 0.31/0.94 (assume @p36 (forall @t127 (or @t126 (= (tptp.c_List_Olistsum @t10 @t1) @t125)))) % 0.31/0.94 (assume @p37 (forall @t131 (or @t130 (tptp.c_HOL_Oord__class_Oless @t21 @t125 @t1) (not (tptp.c_HOL_Oord__class_Oless @t14 @t125 @t1)) @t129))) % 0.31/0.94 (assume @p38 (forall (@list @t53 @t133 @t1 @t132) (= @t136 @t134))) % 0.31/0.94 (assume @p39 (forall (@list @t53 @t3 @t1 @t2) (= (tptp.c_List_Oappend @t137 @t2 @t1) (tptp.c_List_Olist_OCons @t53 @t4 @t1)))) % 0.31/0.94 (assume @p40 (forall (@list @t77 @t139 @t138) (or (tptp.hBOOL (tptp.hAPP @t144 (tptp.hAPP @t142 @t138))) @t141))) % 0.31/0.94 (assume @p41 (forall (@list @t77 @t139 @t145) (or (tptp.hBOOL (tptp.hAPP @t144 (tptp.hAPP @t147 @t139))) @t146))) % 0.31/0.94 (assume @p42 (forall (@list @t82 @t53 @t133 @t46 @t1) (= (tptp.c_List_Omap @t82 (tptp.c_List_Olist_OCons @t53 @t133 @t46) @t46 @t1) (tptp.c_List_Olist_OCons @t148 (tptp.c_List_Omap @t82 @t133 @t46 @t1) @t1)))) % 0.31/0.94 (assume @p43 (forall (@list @t82 @t133 @t149 @t46 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t82 @t133) (tptp.c_List_Omap @t82 @t149 @t46 @t1) @t1) (tptp.c_List_Omap @t82 (tptp.c_List_Olist_OCons @t133 @t149 @t46) @t46 @t1)))) % 0.31/0.94 (assume @p44 (forall (@list @t82 @t53 @t3 @t46 @t1) (= (tptp.c_List_Omap @t82 @t151 @t46 @t1) (tptp.c_List_Olist_OCons @t148 @t150 @t1)))) % 0.31/0.94 (assume @p45 (forall @t90 (or @t154 (= @t94 @t12) @t153))) % 0.31/0.94 (assume @p46 (forall @t158 (or (not (= (tptp.hAPP @t156 @t61) @t157)) @t155))) % 0.31/0.94 (assume @p47 (forall (@list @t35 @t160 @t12) (or (not (= (tptp.hAPP @t37 @t160) @t162)) @t159))) % 0.31/0.94 (assume @p48 (forall @t166 (or (not (= @t165 @t164)) @t159))) % 0.31/0.94 (assume @p49 (forall @t170 (or @t169 @t168 (not (= @t167 @t60)) @t155))) % 0.31/0.94 (assume @p50 (forall @t25 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t172 @t171))) % 0.31/0.94 (assume @p51 (forall @t25 (or @t173 @t172 @t171))) % 0.31/0.94 (assume @p52 (forall @t176 (or @t173 (not (= @t175 @t174)) @t171))) % 0.31/0.94 (assume @p53 (forall (@list @t53 @t133 @t132 @t1) (= @t134 @t136))) % 0.31/0.94 (assume @p54 (forall (@list @t53 @t177 @t132 @t1) (= (tptp.c_List_Olist_OCons @t53 (tptp.c_List_Oappend @t177 @t132 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t53 @t177 @t1) @t132 @t1)))) % 0.31/0.94 (assume @p55 (forall (@list @t53 @t133 @t1) (not (= @t135 @t10)))) % 0.31/0.94 (assume @p56 (forall (@list @t179 @t178 @t1) (not (= @t180 @t10)))) % 0.31/0.94 (assume @p57 (forall (@list @t183 @t184 @t53 @t61 @t187 @t185 @t182 @t181 @t1) (or (= (tptp.hAPP (tptp.hAPP @t183 @t192) @t187) (tptp.hAPP @t190 (tptp.hAPP (tptp.hAPP @t183 @t61) @t187))) @t186))) % 0.31/0.94 (assume @p58 (forall (@list @t184 @t53 @t185 @t61 @t58 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t191 @t194) (tptp.hAPP (tptp.hAPP @t185 @t192) (tptp.hAPP @t191 @t58))) @t186))) % 0.31/0.94 (assume @p59 (forall (@list @t184 @t53 @t61 @t185 @t183 @t182 @t181 @t1) (or (= @t192 (tptp.hAPP @t195 @t53)) @t186))) % 0.31/0.94 (assume @p60 (forall (@list @t184 @t53 @t61 @t58 @t185 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t191 (tptp.hAPP @t195 @t58)) (tptp.hAPP (tptp.hAPP @t184 @t192) @t58)) @t186))) % 0.31/0.94 (assume @p61 (forall (@list @t184 @t181 @t53 @t185 @t183 @t182 @t1) (or (= (tptp.hAPP @t196 @t53) @t53) @t186))) % 0.31/0.94 (assume @p62 (forall (@list @t184 @t182 @t53 @t185 @t183 @t181 @t1) (or (= (tptp.hAPP @t197 @t53) @t182) @t186))) % 0.31/0.94 (assume @p63 (forall (@list @t185 @t53 @t61 @t184 @t183 @t182 @t181 @t1) (or (= @t199 (tptp.hAPP @t193 @t53)) @t186))) % 0.31/0.94 (assume @p64 (forall (@list @t200) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t39 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t200 tptp.tc_Lambda_OdB))))) % 0.31/0.94 (assume @p65 (forall @t30 (or @t24 (= @t29 (tptp.hAPP @t20 @t26))))) % 0.31/0.94 (assume @p66 (forall @t25 (or @t201 @t34))) % 0.31/0.94 (assume @p67 (forall @t25 (or @t202 (= @t33 (tptp.hAPP @t31 @t19))))) % 0.31/0.94 (assume @p68 (forall @t25 (or @t202 @t34))) % 0.31/0.94 (assume @p69 (forall @t203 (= (tptp.hAPP (tptp.hAPP @t36 @t38) @t160) (tptp.hAPP @t37 @t162)))) % 0.31/0.94 (assume @p70 (forall @t158 (= (tptp.hAPP @t156 @t205) (tptp.hAPP @t204 @t157)))) % 0.31/0.94 (assume @p71 (forall @t170 (or @t65 (= @t64 (tptp.hAPP @t62 @t60))))) % 0.31/0.94 (assume @p72 (forall @t170 (or @t24 (= @t64 (tptp.hAPP (tptp.hAPP @t17 @t167) @t58))))) % 0.31/0.94 (assume @p73 (forall @t117 (or @t208 @t114 @t119 @t207))) % 0.31/0.94 (assume @p74 (forall @t123 (or @t212 @t122 @t211 @t210))) % 0.31/0.94 (assume @p75 (forall (@list @t44 @t2 @t3 @t1 @t53) (or @t214 (tptp.c_ListOrder_Ostep1 @t44 (tptp.c_List_Oappend @t2 @t53 @t1) @t213 @t1)))) % 0.31/0.94 (assume @p76 (forall (@list @t44 @t53 @t216 @t1 @t215) (or (tptp.c_ListOrder_Ostep1 @t44 (tptp.c_List_Oappend @t53 @t216 @t1) (tptp.c_List_Oappend @t53 @t215 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t44 @t216 @t215 @t1))))) % 0.31/0.94 (assume @p77 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.31/0.94 (assume @p78 (forall (@list @t77 @t145) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t217) (tptp.c_Lambda_OdB_OAbs @t145))) @t146))) % 0.31/0.94 (assume @p79 (forall @t222 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t221) @t77) @t160) @t221) @t220 @t219))) % 0.31/0.94 (assume @p80 (forall @t108 (or @t87 (not (tptp.c_HOL_Oord__class_Oless @t12 @t84 tptp.tc_nat))))) % 0.31/0.94 (assume @p81 (forall @t90 (= (tptp.c_Orderings_Oord__class_Omax @t94 @t55 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t35 @t12 tptp.tc_nat))))) % 0.31/0.94 (assume @p82 (forall @t226 (= (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 @t225 @t1) @t224))) % 0.31/0.94 (assume @p83 (= @t227 @t84)) % 0.31/0.94 (assume @p84 (forall (@list @t53 @t61 @t3 @t2 @t44 @t1) (or @t230 @t229 @t228))) % 0.31/0.94 (assume @p85 (forall (@list @t44 @t61 @t133 @t53 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t106 @t133))) (tptp.c_ListOrder_Ostep1 @t44 (tptp.c_List_Olist_OCons @t61 @t53 @t1) (tptp.c_List_Olist_OCons @t133 @t53 @t1) @t1)))) % 0.31/0.94 (assume @p86 (forall @t233 (or @t232 @t159))) % 0.31/0.94 (assume @p87 (forall (@list @t2 @t3 @t1 @t132) (or (not (= (tptp.c_List_Oappend @t2 @t3 @t1) (tptp.c_List_Oappend @t132 @t3 @t1))) @t234))) % 0.31/0.94 (assume @p88 (forall @t235 (or (not (= @t4 (tptp.c_List_Oappend @t3 @t132 @t1))) @t234))) % 0.31/0.94 (assume @p89 (forall @t170 (or @t112 @t120 @t211 (not @t122)))) % 0.31/0.94 (assume @p90 (forall (@list @t44 @t1 @t16) (tptp.hBOOL (tptp.hAPP @t236 @t16)))) % 0.31/0.94 (assume @p91 (forall (@list @t44 @t1 @t53) (tptp.hBOOL (tptp.hAPP @t237 @t53)))) % 0.31/0.94 (assume @p92 (forall @t243 (or @t242 @t241 @t239))) % 0.31/0.94 (assume @p93 (forall @t243 (or @t242 @t239 @t241))) % 0.31/0.94 (assume @p94 (forall (@list @t44 @t1 @t53 @t58 @t61) (or (tptp.hBOOL (tptp.hAPP @t237 @t58)) (not (tptp.hBOOL (tptp.hAPP @t98 @t58))) (not @t244)))) % 0.31/0.94 (assume @p95 (forall @t247 (or (tptp.c_Wellfounded_Oaccp @t246 @t139 tptp.tc_Lambda_OdB) @t245))) % 0.31/0.94 (assume @p96 (forall @t249 (or @t248 (not (tptp.c_Wellfounded_Oaccp @t246 @t44 tptp.tc_Lambda_OdB))))) % 0.31/0.94 (assume @p97 (forall @t252 (or @t251 @t250 (= (tptp.c_Power_Opower__class_Opower @t125 @t55 @t1) @t125)))) % 0.31/0.94 (assume @p98 (forall @t90 (= @t93 @t253))) % 0.31/0.94 (assume @p99 (forall @t90 (= @t95 @t253))) % 0.31/0.94 (assume @p100 (forall @t255 (tptp.c_HOL_Oord__class_Oless @t218 (tptp.c_Suc (tptp.hAPP @t254 @t35)) tptp.tc_nat))) % 0.31/0.94 (assume @p101 (forall @t255 (tptp.c_HOL_Oord__class_Oless @t218 (tptp.c_Suc (tptp.hAPP @t37 @t218)) tptp.tc_nat))) % 0.31/0.94 (assume @p102 (forall (@list @t35 @t53) (tptp.c_HOL_Oord__class_Oless @t35 (tptp.c_Suc (tptp.hAPP @t37 @t53)) tptp.tc_nat))) % 0.31/0.94 (assume @p103 (forall @t257 (= @t256 @t3))) % 0.31/0.94 (assume @p104 (forall @t258 (= @t53 (tptp.c_List_Oappend @t10 @t53 @t1)))) % 0.31/0.94 (assume @p105 (forall @t257 (= @t3 @t256))) % 0.31/0.94 (assume @p106 (forall (@list @t1 @t2) (= @t259 @t2))) % 0.31/0.94 (assume @p107 (forall (@list @t2 @t1) (= @t2 @t259))) % 0.31/0.94 (assume @p108 (forall @t264 (or @t263 @t260))) % 0.31/0.94 (assume @p109 (forall (@list @t82 @t12 @t53 @t46 @t1) (= (tptp.c_List_Omap @t82 (tptp.c_List_Oreplicate @t12 @t53 @t46) @t46 @t1) (tptp.c_List_Oreplicate @t12 @t148 @t1)))) % 0.31/0.94 (assume @p110 (forall @t158 (or @t266 (not @t265)))) % 0.31/0.94 (assume @p111 (forall @t158 (or @t266 (not (tptp.c_HOL_Oord__class_Oless @t53 @t58 tptp.tc_nat))))) % 0.31/0.94 (assume @p112 (forall @t270 (or @t269 (not (tptp.c_HOL_Oord__class_Oless @t268 @t160 tptp.tc_nat))))) % 0.31/0.94 (assume @p113 (forall (@list @t218 @t267 @t35) (or (tptp.c_HOL_Oord__class_Oless @t218 (tptp.hAPP @t272 @t35) tptp.tc_nat) @t271))) % 0.31/0.94 (assume @p114 (forall (@list @t218 @t35 @t267) (or (tptp.c_HOL_Oord__class_Oless @t218 (tptp.hAPP @t37 @t267) tptp.tc_nat) @t271))) % 0.31/0.94 (assume @p115 (forall (@list @t1 @t16 @t15) (or @t24 (= @t19 @t174)))) % 0.31/0.94 (assume @p116 (forall @t131 (or @t202 (= @t21 @t175)))) % 0.31/0.94 (assume @p117 (forall @t90 (= @t38 @t273))) % 0.31/0.94 (assume @p118 (forall (@list @t35 @t274 @t160 @t12) (or (not (= (tptp.hAPP @t37 @t274) @t164)) @t275 @t152))) % 0.31/0.94 (assume @p119 (forall @t276 (or @t24 (= @t167 (tptp.hAPP @t62 @t53))))) % 0.31/0.94 (assume @p120 (forall (@list @t82 @t3 @t2 @t46 @t16 @t1) (= (tptp.c_List_Ofoldr @t82 @t277 @t16 @t46 @t1) (tptp.c_List_Ofoldr @t82 @t3 (tptp.c_List_Ofoldr @t82 @t2 @t16 @t46 @t1) @t46 @t1)))) % 0.31/0.94 (assume @p121 (forall (@list @t44 @t61 @t53 @t2 @t1 @t3) (or @t107 @t278 @t104))) % 0.31/0.94 (assume @p122 (forall @t281 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t280 @t279)) @t159))) % 0.31/0.94 (assume @p123 (forall (@list @t1 @t82 @t3 @t46) (or (not (= @t10 @t150)) @t282))) % 0.31/0.94 (assume @p124 (forall (@list @t184 @t183 @t53 @t283 @t187 @t185 @t182 @t181 @t1) (or (= (tptp.hAPP (tptp.hAPP @t184 (tptp.hAPP @t188 @t283)) @t189) (tptp.hAPP @t188 (tptp.hAPP (tptp.hAPP @t36 @t283) @t187))) @t186))) % 0.31/0.94 (assume @p125 (forall @t289 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t288) @t286)) @t284))) % 0.31/0.94 (assume @p126 (forall @t264 (or @t263 @t284))) % 0.31/0.94 (assume @p127 (forall (@list @t12 @t139 @t160) (= (tptp.c_Lambda_Oliftn @t55 @t139 @t160) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t290) @t160)))) % 0.31/0.94 (assume @p128 (forall @t108 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t13)))) % 0.31/0.94 (assume @p129 (forall (@list @t53 @t61) (or (not (= @t109 (tptp.c_Suc @t61))) @t230))) % 0.31/0.94 (assume @p130 (forall @t294 (or (not (= (tptp.c_Suc @t66) @t293)) @t292))) % 0.31/0.94 (assume @p131 (forall (@list @t1 @t3 @t16) (or @t201 (= (tptp.c_List_Ofoldr @t17 @t3 @t16 @t1 @t1) @t295)))) % 0.31/0.94 (assume @p132 (forall (@list @t66 @t296) (not (= @t69 @t297)))) % 0.31/0.94 (assume @p133 (forall @t100 (or @t244 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t53) @t61)))))) % 0.31/0.94 (assume @p134 (forall (@list @t44 @t1 @t3) (not (tptp.c_ListOrder_Ostep1 @t44 @t10 @t3 @t1)))) % 0.31/0.94 (assume @p135 (forall (@list @t44 @t3 @t1) (not (tptp.c_ListOrder_Ostep1 @t44 @t3 @t10 @t1)))) % 0.31/0.94 (assume @p136 (tptp.c_HOL_Oord__class_Oless @t39 @t84 tptp.tc_nat)) % 0.31/0.94 (assume @p137 (forall @t301 (or @t300 @t299 @t129))) % 0.31/0.94 (assume @p138 (forall @t301 (or @t300 @t128 @t302))) % 0.31/0.94 (assume @p139 (forall @t301 (or @t303 @t128 @t302))) % 0.31/0.94 (assume @p140 (forall @t301 (or @t303 @t299 @t129))) % 0.31/0.94 (assume @p141 (forall @t90 (or @t89 @t88 @t91))) % 0.31/0.94 (assume @p142 (forall @t90 (or @t89 @t92 @t87))) % 0.31/0.94 (assume @p143 (forall @t308 (or @t307 (tptp.c_HOL_Oord__class_Oless @t125 @t306 @t1) @t305))) % 0.31/0.94 (assume @p144 (forall (@list @t1 @t58 @t61 @t53) (or @t112 @t118 @t114 (not @t116)))) % 0.31/0.94 (assume @p145 (forall @t222 (or (= (tptp.c_Lambda_Osubstn @t221 @t77 @t160) @t221) @t220 @t219))) % 0.31/0.94 (assume @p146 (forall @t311 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t310)) @t245))) % 0.31/0.94 (assume @p147 (forall @t314 (or @t313 @t312))) % 0.31/0.94 (assume @p148 (forall @t314 (or @t313 @t315))) % 0.31/0.94 (assume @p149 (forall (@list @t223 @t296) (or (not (= @t225 @t297)) (= @t223 @t296)))) % 0.31/0.94 (assume @p150 (forall @t317 (or @t316 @t312))) % 0.31/0.94 (assume @p151 (forall @t317 (or @t316 @t315))) % 0.31/0.94 (assume @p152 (forall @t127 (= (tptp.c_Predicate_Oconversep @t318 @t1 @t1) @t318))) % 0.31/0.94 (assume @p153 (forall @t90 (or @t159 @t152 (not @t319)))) % 0.31/0.94 (assume @p154 (forall @t90 (or @t159 @t322 @t320))) % 0.31/0.94 (assume @p155 (forall @t43 (or (= @t12 @t35) @t322 @t320))) % 0.31/0.94 (assume @p156 (forall @t72 (= (tptp.c_Lambda_OdB_OdB__rec @t67 @t71 @t70 @t69 @t1) @t68))) % 0.31/0.94 (assume @p157 (forall @t324 (= @t10 @t323))) % 0.31/0.94 (assume @p158 (= @t84 @t227)) % 0.31/0.94 (assume @p159 (forall @t110 (not @t79))) % 0.31/0.94 (assume @p160 (forall @t108 (not (tptp.c_HOL_Oord__class_Oless @t12 @t12 tptp.tc_nat)))) % 0.31/0.94 (assume @p161 (forall @t324 (or @t208 @t325))) % 0.31/0.94 (assume @p162 (forall @t324 (or @t112 @t325))) % 0.31/0.94 (assume @p163 (forall @t324 (or @t212 @t325))) % 0.31/0.94 (assume @p164 (forall @t327 (or (= @t326 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t254 @t12))) @t269))) % 0.31/0.94 (assume @p165 (forall (@list @t185 @t53 @t61 @t58 @t184 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t198 @t194) (tptp.hAPP (tptp.hAPP @t185 @t199) @t58)) @t186))) % 0.31/0.94 (assume @p166 (forall (@list @t185 @t182 @t53 @t184 @t183 @t181 @t1) (or (= (tptp.hAPP @t328 @t53) @t53) @t186))) % 0.31/0.94 (assume @p167 (forall @t335 (or (= @t334 (tptp.hAPP @t331 @t26)) @t186))) % 0.31/0.94 (assume @p168 (forall (@list @t185 @t16 @t15 @t184 @t183 @t182 @t181 @t1) (or (= @t330 (tptp.hAPP @t332 @t16)) @t186))) % 0.31/0.94 (assume @p169 (forall @t339 (or (= @t338 (tptp.hAPP @t331 @t14)) @t186))) % 0.31/0.94 (assume @p170 (forall @t335 (or (= @t334 (tptp.hAPP @t332 (tptp.hAPP @t329 @t26))) @t186))) % 0.31/0.94 (assume @p171 (forall @t339 (or (= @t338 (tptp.hAPP @t329 (tptp.hAPP @t340 @t15))) @t186))) % 0.31/0.94 (assume @p172 (forall (@list @t185 @t16 @t14 @t15 @t26 @t184 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t337 @t333) (tptp.hAPP @t331 (tptp.hAPP @t340 @t26))) @t186))) % 0.31/0.94 (assume @p173 (forall @t348 (or (= @t347 (tptp.hAPP @t345 (tptp.hAPP @t343 @t341))) @t186))) % 0.31/0.94 (assume @p174 (forall @t348 (or (= @t347 (tptp.hAPP @t349 @t341)) @t186))) % 0.31/0.94 (assume @p175 (forall @t354 (or (= @t353 (tptp.hAPP @t343 (tptp.hAPP @t351 @t344))) @t186))) % 0.31/0.94 (assume @p176 (forall @t354 (or (= @t353 (tptp.hAPP @t349 @t350)) @t186))) % 0.31/0.94 (assume @p177 (forall @t356 (or (= @t355 (tptp.hAPP @t345 (tptp.hAPP @t352 @t341))) @t186))) % 0.31/0.94 (assume @p178 (forall @t356 (or (= @t355 (tptp.hAPP @t343 (tptp.hAPP @t351 @t346))) @t186))) % 0.31/0.94 (assume @p179 (forall @t356 (or (= @t355 (tptp.hAPP @t349 (tptp.hAPP @t351 @t341))) @t186))) % 0.31/0.94 (assume @p180 (forall (@list @t184 @t16 @t181 @t185 @t183 @t182 @t1) (or (= (tptp.hAPP @t357 @t181) @t16) @t186))) % 0.31/0.94 (assume @p181 (forall (@list @t184 @t181 @t16 @t185 @t183 @t182 @t1) (or (= (tptp.hAPP @t196 @t16) @t16) @t186))) % 0.31/0.94 (assume @p182 (forall (@list @t184 @t16 @t182 @t185 @t183 @t181 @t1) (or (= (tptp.hAPP @t357 @t182) @t182) @t186))) % 0.31/0.94 (assume @p183 (forall (@list @t184 @t182 @t16 @t185 @t183 @t181 @t1) (or (= (tptp.hAPP @t197 @t16) @t182) @t186))) % 0.31/0.94 (assume @p184 (forall (@list @t184 @t185 @t16 @t14 @t15 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t359 @t15) (tptp.hAPP (tptp.hAPP @t185 (tptp.hAPP @t357 @t15)) (tptp.hAPP @t358 @t15))) @t186))) % 0.31/0.94 (assume @p185 (forall (@list @t184 @t16 @t14 @t185 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t357 @t14) (tptp.hAPP @t358 @t16)) @t186))) % 0.31/0.94 (assume @p186 (forall (@list @t185 @t16 @t182 @t184 @t183 @t181 @t1) (or (= (tptp.hAPP @t329 @t182) @t16) @t186))) % 0.31/0.94 (assume @p187 (forall (@list @t185 @t182 @t16 @t184 @t183 @t181 @t1) (or (= (tptp.hAPP @t328 @t16) @t16) @t186))) % 0.31/0.94 (assume @p188 (forall (@list @t185 @t35 @t184 @t181 @t183 @t182 @t1) (or (= (tptp.hAPP @t360 @t35) (tptp.hAPP (tptp.hAPP @t184 (tptp.hAPP (tptp.hAPP @t185 @t181) @t181)) @t35)) @t186))) % 0.31/0.94 (assume @p189 (forall (@list @t185 @t35 @t184 @t16 @t181 @t183 @t182 @t1) (or (= (tptp.hAPP @t360 @t362) @t361) @t186))) % 0.31/0.94 (assume @p190 (forall (@list @t185 @t184 @t16 @t35 @t181 @t183 @t182 @t1) (or (= (tptp.hAPP @t363 @t35) @t361) @t186))) % 0.31/0.94 (assume @p191 (forall (@list @t185 @t184 @t16 @t35 @t14 @t183 @t182 @t181 @t1) (or (= (tptp.hAPP @t363 (tptp.hAPP @t358 @t35)) (tptp.hAPP @t359 @t35)) @t186))) % 0.31/0.94 (assume @p192 (forall (@list @t53 @t61 @t44 @t2 @t1 @t3) (or @t230 @t107 @t228))) % 0.31/0.94 (assume @p193 (forall @t90 (or @t364 @t88 @t87))) % 0.31/0.94 (assume @p194 (forall @t90 (or @t364 @t92 @t91))) % 0.31/0.94 (assume @p195 (forall @t249 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t366)) @t365))) % 0.31/0.94 (assume @p196 (forall (@list @t1 @t16 @t14 @t15 @t26) (or @t24 (= (tptp.hAPP @t22 @t28) (tptp.hAPP @t20 @t367))))) % 0.31/0.94 (assume @p197 (forall (@list @t77 @t139 @t145 @t138) (or (tptp.hBOOL (tptp.hAPP @t144 (tptp.hAPP @t147 @t138))) @t141 @t146))) % 0.31/0.94 (assume @p198 (forall (@list @t1 @t35) (or @t307 (not (tptp.c_HOL_Oord__class_Oless @t280 @t125 @t1))))) % 0.31/0.94 (assume @p199 (forall @t276 (or @t112 (= @t115 (tptp.c_Orderings_Oord__class_Omax @t61 @t53 @t1))))) % 0.31/0.94 (assume @p200 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.31/0.94 (assume @p201 (forall @t327 (or (= @t326 @t221) @t368))) % 0.31/0.94 (assume @p202 (forall @t373 (or @t372 @t371 @t141))) % 0.31/0.94 (assume @p203 (forall @t258 (= @t323 @t10))) % 0.31/0.94 (assume @p204 (forall (@list @t370 @t218 @t377 @t200 @t374) (or (tptp.c_Type_Otypings @t378 @t376 @t374) @t375))) % 0.31/0.94 (assume @p205 (forall (@list @t218 @t160) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t221) @t160) @t221) @t368))) % 0.31/0.94 (assume @p206 (forall @t382 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t381) @t380)) @t260))) % 0.31/0.94 (assume @p207 (forall (@list @t53 @t139 @t1) (not (= (tptp.c_List_Olist_OCons @t53 @t139 @t1) @t139)))) % 0.31/0.94 (assume @p208 (forall (@list @t3 @t53 @t1) (not (= @t3 @t137)))) % 0.31/0.94 (assume @p209 (forall @t80 (or @t79 (= (tptp.c_Lambda_Osubstn @t78 @t77 @t53) (tptp.c_Lambda_Oliftn @t53 @t77 @t39))))) % 0.31/0.94 (assume @p210 (forall @t110 (or @t79 @t383))) % 0.31/0.94 (assume @p211 (forall @t90 (or @t153 @t322))) % 0.31/0.94 (assume @p212 (forall @t43 (or @t321 @t152))) % 0.31/0.94 (assume @p213 (forall (@list @t53 @t3 @t1) (= @t137 @t384))) % 0.31/0.94 (assume @p214 (forall @t170 (or @t385 (= (tptp.hAPP (tptp.hAPP @t17 @t115) @t58) (tptp.c_Orderings_Oord__class_Omax @t60 @t63 @t1))))) % 0.31/0.94 (assume @p215 (forall @t311 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t386 @t221))) @t245))) % 0.31/0.94 (assume @p216 (forall (@list @t1 @t82 @t46) (= @t10 @t83))) % 0.31/0.94 (assume @p217 (forall (@list @t2 @t3 @t44 @t1 @t61 @t53) (or @t387 @t105 @t104))) % 0.31/0.94 (assume @p218 (forall @t170 (or @t112 (= (tptp.c_Orderings_Oord__class_Omax @t115 @t58 @t1) @t388)))) % 0.31/0.94 (assume @p219 (forall @t170 (or @t112 (= @t388 (tptp.c_Orderings_Oord__class_Omax @t61 (tptp.c_Orderings_Oord__class_Omax @t53 @t58 @t1) @t1))))) % 0.31/0.94 (assume @p220 (forall @t127 (= @t10 @t389))) % 0.31/0.94 (assume @p221 (forall (@list @t44 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t97 @t1) @t97))) % 0.31/0.94 (assume @p222 (forall @t392 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t217) @t391)) @t390))) % 0.31/0.94 (assume @p223 (forall @t276 (or @t112 (= (tptp.c_Orderings_Oord__class_Omax @t53 @t115 @t1) @t115)))) % 0.31/0.94 (assume @p224 (forall (@list @t218 @t53 @t1) (= (tptp.c_List_Oappend @t393 @t101 @t1) (tptp.c_List_Olist_OCons @t53 @t393 @t1)))) % 0.31/0.94 (assume @p225 (forall (@list @t394 @t16 @t395 @t1) (or (= (tptp.hAPP @t397 @t395) @t16) @t396))) % 0.31/0.94 (assume @p226 (forall (@list @t394 @t395 @t16 @t1) (or (= (tptp.hAPP (tptp.hAPP @t394 @t395) @t16) @t16) @t396))) % 0.31/0.94 (assume @p227 (forall (@list @t53 @t12) (or (tptp.c_HOL_Oord__class_Oless @t109 @t55 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t53 @t12 tptp.tc_nat))))) % 0.31/0.94 (assume @p228 (forall @t90 (or @t152 (not @t398)))) % 0.31/0.94 (assume @p229 (forall @t90 (or @t398 @t153))) % 0.31/0.94 (assume @p230 (forall @t90 (or @t40 @t399))) % 0.31/0.94 (assume @p231 (forall @t90 (or @t40 (not @t41)))) % 0.31/0.94 (assume @p232 (forall @t301 (or @t300 @t304 (not @t400)))) % 0.31/0.94 (assume @p233 (forall @t301 (or @t300 @t400 @t305))) % 0.31/0.94 (assume @p234 (forall (@list @t370 @t218 @t369 @t200) (or (tptp.c_Type_Otyping @t370 @t221 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t403 @t369 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t402))) % 0.31/0.94 (assume @p235 (forall (@list @t370 @t57 @t218 @t200 @t374 @t369) (or (tptp.c_Type_Otypings @t370 @t404 @t374) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t370 @t218 @t369 tptp.tc_Type_Otype) @t200 @t374)) (not (tptp.c_Type_Otyping @t370 @t57 @t369))))) % 0.31/0.94 (assume @p236 (forall @t308 (or @t409 @t408 @t407 @t250 @t406 @t405))) % 0.31/0.94 (assume @p237 (forall @t308 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t406 @t405))) % 0.31/0.94 (assume @p238 (forall @t301 (or @t300 (not (= @t298 @t125)) @t405))) % 0.31/0.94 (assume @p239 (forall (@list @t1 @t53 @t16) (or @t169 @t168 (not (= @t53 (tptp.hAPP @t59 @t16))) @t405))) % 0.31/0.94 (assume @p240 (forall @t127 (or @t300 (= (tptp.hAPP @t410 @t125) @t125)))) % 0.31/0.94 (assume @p241 (forall @t324 (or @t24 (= (tptp.hAPP @t410 @t53) @t53)))) % 0.31/0.94 (assume @p242 (forall @t301 (or @t202 @t411))) % 0.31/0.94 (assume @p243 (forall @t324 (or @t169 @t168 (= @t53 (tptp.hAPP @t59 @t125))))) % 0.31/0.94 (assume @p244 (forall @t301 (or @t202 @t412))) % 0.31/0.94 (assume @p245 (forall @t301 (or @t126 @t411))) % 0.31/0.94 (assume @p246 (forall @t301 (or @t126 @t412))) % 0.31/0.94 (assume @p247 (forall @t301 (or @t24 @t412))) % 0.31/0.94 (assume @p248 (forall @t301 (or @t24 @t411))) % 0.31/0.94 (assume @p249 (not (tptp.c_HOL_Oord__class_Oless @t39 @t39 tptp.tc_nat))) % 0.31/0.94 (assume @p250 (forall (@list @t139 @t160) (= (tptp.c_Lambda_Oliftn @t39 @t139 @t160) @t139))) % 0.31/0.94 (assume @p251 (forall @t108 (or @t42 @t87))) % 0.31/0.94 (assume @p252 (forall @t413 (not (= @t94 @t39)))) % 0.31/0.94 (assume @p253 (forall @t414 (not (= @t293 @t39)))) % 0.31/0.94 (assume @p254 (forall @t90 (or @t415 @t87))) % 0.31/0.94 (assume @p255 (forall @t90 (or @t415 @t92))) % 0.31/0.94 (assume @p256 (forall (@list @t53 @t16) (or (not (= @t53 (tptp.hAPP @t156 @t16))) (= @t16 @t39)))) % 0.31/0.94 (assume @p257 (forall @t90 (or (not (= @t38 @t35)) @t87))) % 0.31/0.94 (assume @p258 (forall @t413 (not (= @t39 @t94)))) % 0.31/0.94 (assume @p259 (forall @t414 (not (= @t39 @t293)))) % 0.31/0.94 (assume @p260 (= (tptp.hAPP @t85 @t39) @t39)) % 0.31/0.94 (assume @p261 (forall @t413 (not (tptp.c_HOL_Oord__class_Oless @t35 @t39 tptp.tc_nat)))) % 0.31/0.94 (assume @p262 (forall @t108 (not (tptp.c_HOL_Oord__class_Oless @t12 @t39 tptp.tc_nat)))) % 0.31/0.94 (assume @p263 (forall (@list @t53 @t1 @t61) (= @t323 (tptp.c_List_Oreplicate @t39 @t61 @t1)))) % 0.31/0.94 (assume @p264 (forall @t108 (= (tptp.c_Orderings_Oord__class_Omax @t12 @t39 tptp.tc_nat) @t12))) % 0.31/0.94 (assume @p265 (forall @t382 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t381) @t380)) @t284))) % 0.31/0.94 (assume @p266 (forall @t131 (or @t130 (tptp.c_HOL_Oord__class_Oless @t125 @t21 @t1) (not (tptp.c_HOL_Oord__class_Oless @t125 @t14 @t1)) @t305))) % 0.31/0.94 (assume @p267 (forall @t416 (or @t105 @t229 @t228))) % 0.31/0.94 (assume @p268 (forall (@list @t394 @t16 @t14 @t15 @t1) (or (= (tptp.hAPP (tptp.hAPP @t394 (tptp.hAPP @t397 @t14)) @t15) (tptp.hAPP @t397 (tptp.hAPP (tptp.hAPP @t394 @t14) @t15))) @t417))) % 0.31/0.94 (assume @p269 (forall @t419 (or @t126 (= (tptp.c_List_Olistsum @t137 @t1) (tptp.hAPP @t59 @t418))))) % 0.31/0.94 (assume @p270 (forall (@list @t82 @t3 @t2 @t46 @t1) (= (tptp.c_List_Omap @t82 @t277 @t46 @t1) (tptp.c_List_Oappend @t150 (tptp.c_List_Omap @t82 @t2 @t46 @t1) @t1)))) % 0.31/0.94 (assume @p271 (forall @t420 (or @t303 @t206 @t209 @t230))) % 0.31/0.94 (assume @p272 (forall @t276 (or @t112 @t230 @t206 @t209))) % 0.31/0.94 (assume @p273 (forall @t43 (or @t320 @t152 @t159))) % 0.31/0.94 (assume @p274 (forall (@list @t75 @t12 @t35) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t12) @t35)) @t320 @t159 @t152))) % 0.31/0.94 (assume @p275 (forall (@list @t61 @t53) (or (tptp.c_HOL_Oord__class_Oless @t61 @t53 tptp.tc_nat) @t265 @t230))) % 0.31/0.94 (assume @p276 (forall @t420 (or @t112 @t206 @t209 @t230))) % 0.31/0.94 (assume @p277 (forall (@list @t12 @t53 @t1 @t160) (= (tptp.c_List_Oappend @t54 @t421 @t1) (tptp.c_List_Oappend @t421 @t54 @t1)))) % 0.31/0.94 (assume @p278 (forall @t420 (or @t112 @t206 @t230 @t209))) % 0.31/0.94 (assume @p279 (forall @t276 (or @t112 @t230 @t209 @t206))) % 0.31/0.94 (assume @p280 (forall @t324 (or @t112 (= (tptp.c_Orderings_Oord__class_Omax @t53 @t53 @t1) @t53)))) % 0.31/0.94 (assume @p281 (forall (@list @t1 @t16 @t15 @t14 @t26) (or @t424 (tptp.c_HOL_Oord__class_Oless @t19 @t367 @t1) (not (tptp.c_HOL_Oord__class_Oless @t15 @t26 @t1)) @t423))) % 0.31/0.94 (assume @p282 (forall (@list @t218 @t160 @t267 @t274) (or (tptp.c_HOL_Oord__class_Oless @t425 (tptp.hAPP @t272 @t274) tptp.tc_nat) @t275 @t271))) % 0.31/0.94 (assume @p283 (forall (@list @t1 @t179 @t178) (not (= @t10 @t180)))) % 0.31/0.94 (assume @p284 (forall (@list @t218 @t139) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t221) @t139))))) % 0.31/0.94 (assume @p285 (forall @t281 (or @t307 @t426 @t153))) % 0.31/0.94 (assume @p286 (forall @t281 (or @t307 @t152 (not @t426)))) % 0.31/0.94 (assume @p287 (forall @t108 (tptp.c_HOL_Oord__class_Oless @t12 @t55 tptp.tc_nat))) % 0.31/0.94 (assume @p288 (forall @t110 @t383)) % 0.31/0.94 (assume @p289 (forall @t270 (or (tptp.c_HOL_Oord__class_Oless @t427 @t160 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t267 @t160 tptp.tc_nat)) @t271))) % 0.31/0.94 (assume @p290 (forall @t429 (or @t126 (= @t418 @t428)))) % 0.31/0.94 (assume @p291 (forall (@list @t184 @t53 @t183 @t187 @t185 @t182 @t181 @t1) (or (= @t431 @t430) @t186))) % 0.31/0.94 (assume @p292 (forall (@list @t184 @t183 @t53 @t187 @t185 @t182 @t181 @t1) (or (= (tptp.hAPP @t190 @t53) @t430) @t186))) % 0.31/0.94 (assume @p293 (forall (@list @t183 @t53 @t187 @t184 @t185 @t182 @t181 @t1) (or (= @t430 @t431) @t186))) % 0.31/0.94 (assume @p294 (forall (@list @t183 @t53 @t12 @t184 @t185 @t182 @t181 @t1) (or (= (tptp.hAPP @t188 @t55) (tptp.hAPP @t191 (tptp.hAPP @t188 @t12))) @t186))) % 0.31/0.94 (assume @p295 (forall (@list @t12 @t35 @t53 @t1) (= (tptp.c_List_Oreplicate @t273 @t53 @t1) (tptp.c_List_Oappend @t54 @t231 @t1)))) % 0.31/0.94 (assume @p296 (forall @t252 (or @t307 @t432 @t399))) % 0.31/0.94 (assume @p297 (forall @t252 (or @t307 @t42 (not @t432)))) % 0.31/0.94 (assume @p298 (forall (@list @t2 @t3 @t61 @t53 @t44 @t1) (or @t387 @t278 @t104))) % 0.31/0.94 (assume @p299 (forall (@list @t139 @t200 @t218) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t433) @t218) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t310 @t376 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.94 (assume @p300 (forall @t56 (or (not (= @t54 @t10)) @t87))) % 0.31/0.94 (assume @p301 (forall @t226 (= (tptp.c_Lambda_OdB_OdB__rec @t67 @t71 @t70 @t225 @t1) (tptp.hAPP @t224 (tptp.c_Lambda_OdB_OdB__rec @t67 @t71 @t70 @t223 @t1))))) % 0.31/0.94 (assume @p302 (forall @t127 (or @t434 (tptp.c_OrderedGroup_Osemigroup__add @t17 @t1)))) % 0.31/0.94 (assume @p303 (forall (@list @t1 @t12 @t53) (or (not (= @t10 @t54)) @t87))) % 0.31/0.94 (assume @p304 (forall (@list @t377 @t369 @t370 @t215 @t218 @t200 @t374) (or (= @t377 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t437 @t369 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t436 @t375 @t435))) % 0.31/0.94 (assume @p305 (forall @t176 (or @t307 (tptp.c_HOL_Oord__class_Oless @t14 @t19 @t1) (not (tptp.c_HOL_Oord__class_Oless @t14 @t15 @t1)) @t305))) % 0.31/0.94 (assume @p306 (forall (@list @t267 @t57 @t218) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t439) @t57) @t218) @t439) @t438))) % 0.31/0.94 (assume @p307 (forall (@list @t82 @t53 @t3 @t46 @t16 @t1) (= (tptp.c_List_Ofoldr @t82 @t151 @t16 @t46 @t1) (tptp.hAPP @t148 (tptp.c_List_Ofoldr @t82 @t3 @t16 @t46 @t1))))) % 0.31/0.94 (assume @p308 (forall (@list @t75 @t67 @t71 @t70 @t223) (or (not (tptp.hBOOL (tptp.hAPP @t75 (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 @t225 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t75 @t224))))) % 0.31/0.94 (assume @p309 (forall (@list @t75 @t67 @t71 @t70 @t133) (or (not (tptp.hBOOL (tptp.hAPP @t75 (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 (tptp.c_Lambda_OdB_OAbs @t133) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t75 (tptp.hAPP @t70 @t133)))))) % 0.31/0.94 (assume @p310 (forall (@list @t44 @t218 @t267) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t287 @t221) @t267))) @t365))) % 0.31/0.94 (assume @p311 (forall (@list @t44 @t1 @t46) (= (tptp.c_Predicate_Oconversep @t47 @t46 @t1) @t44))) % 0.31/0.94 (assume @p312 (forall (@list @t218 @t267) (not (tptp.c_HOL_Oord__class_Oless @t268 @t218 tptp.tc_nat)))) % 0.31/0.94 (assume @p313 (forall (@list @t267 @t218) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t272 @t218) @t218 tptp.tc_nat)))) % 0.31/0.94 (assume @p314 (forall @t317 (or (not (= @t4 @t3)) @t315))) % 0.31/0.94 (assume @p315 (forall @t317 (or (not (= @t3 @t4)) @t315))) % 0.31/0.94 (assume @p316 (forall @t317 (or (not (= @t4 @t2)) @t312))) % 0.31/0.94 (assume @p317 (forall (@list @t2 @t3 @t1) (or (not (= @t2 @t4)) @t312))) % 0.31/0.94 (assume @p318 (forall @t445 (or @t444 (= @t441 @t440)))) % 0.31/0.94 (assume @p319 (forall @t445 (or @t444 (= @t443 @t442)))) % 0.31/0.94 (assume @p320 (forall @t419 (= @t384 @t137))) % 0.31/0.94 (assume @p321 (forall @t108 (not (= @t55 @t12)))) % 0.31/0.94 (assume @p322 (forall @t108 (not (= @t12 @t55)))) % 0.31/0.94 (assume @p323 (forall @t447 (or @t424 @t446 @t423))) % 0.31/0.94 (assume @p324 (forall @t447 (or @t385 @t446 @t423))) % 0.31/0.94 (assume @p325 (forall @t25 (or @t385 @t422 (not @t446)))) % 0.31/0.94 (assume @p326 (forall @t449 (or @t424 @t448 @t423))) % 0.31/0.94 (assume @p327 (forall @t449 (or @t385 @t448 @t423))) % 0.31/0.94 (assume @p328 (forall @t25 (or @t385 @t422 (not @t448)))) % 0.31/0.94 (assume @p329 (forall @t270 (or (tptp.c_HOL_Oord__class_Oless @t425 (tptp.hAPP @t272 @t160) tptp.tc_nat) @t271))) % 0.31/0.94 (assume @p330 (forall @t203 (or @t152 (not @t450)))) % 0.31/0.94 (assume @p331 (forall @t166 (or @t450 @t153))) % 0.31/0.94 (assume @p332 (forall @t453 (or @t452 (= @t16 @t179)))) % 0.31/0.94 (assume @p333 (forall @t453 (or @t452 (= @t451 @t178)))) % 0.31/0.94 (assume @p334 (forall @t416 (or @t105 @t107 @t228))) % 0.31/0.94 (assume @p335 (forall (@list @t44 @t53 @t2 @t1 @t3) (or (tptp.c_ListOrder_Ostep1 @t44 (tptp.c_List_Olist_OCons @t53 @t2 @t1) @t137 @t1) @t214))) % 0.31/0.94 (assume @p336 (forall (@list @t369 @t370 @t139) (or (= @t369 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t456) @t455)) @t454))) % 0.31/0.94 (assume @p337 (= @t86 @t84)) % 0.31/0.94 (assume @p338 (forall (@list @t75 @t67 @t71 @t70 @t66) (or (not (tptp.hBOOL (tptp.hAPP @t75 (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 @t69 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t75 @t68))))) % 0.31/0.94 (assume @p339 (forall (@list @t75 @t67 @t71 @t70 @t457) (or (not (tptp.hBOOL (tptp.hAPP @t75 (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 (tptp.c_Lambda_OdB_OVar @t457) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t75 (tptp.hAPP @t67 @t457)))))) % 0.31/0.94 (assume @p340 (forall @t294 (or (not (= @t69 (tptp.c_Lambda_OdB_OVar @t291))) @t292))) % 0.31/0.94 (assume @p341 (forall (@list @t296 @t66) (not (= @t297 @t69)))) % 0.31/0.94 (assume @p342 (forall (@list @t12 @t53 @t1 @t3) (= (tptp.c_List_Oappend @t54 @t137 @t1) (tptp.c_List_Olist_OCons @t53 (tptp.c_List_Oappend @t54 @t3 @t1) @t1)))) % 0.31/0.94 (assume @p343 (forall @t90 (or @t152 (not @t154)))) % 0.31/0.94 (assume @p344 (forall @t90 (or @t319 @t153))) % 0.31/0.94 (assume @p345 (forall @t281 (or @t458 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t38 @t1) (tptp.hAPP (tptp.hAPP @t17 @t280) @t279))))) % 0.31/0.94 (assume @p346 (forall (@list @t82 @t3 @t46 @t1) (or (not (= @t150 @t10)) @t282))) % 0.31/0.94 (assume @p347 (forall @t314 (or @t126 (= (tptp.c_List_Olistsum @t4 @t1) (tptp.hAPP (tptp.hAPP @t17 @t418) (tptp.c_List_Olistsum @t2 @t1)))))) % 0.31/0.94 (assume @p348 (forall @t460 (or @t459 @t229))) % 0.31/0.94 (assume @p349 (forall @t460 (or @t459 @t230))) % 0.31/0.94 (assume @p350 (forall @t90 (or @t364 @t88 @t91))) % 0.31/0.94 (assume @p351 (forall @t90 (or @t364 @t92 @t87))) % 0.31/0.94 (assume @p352 (forall @t127 (= @t389 @t10))) % 0.31/0.94 (assume @p353 (forall @t235 (= (tptp.c_List_Oappend @t4 @t132 @t1) (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t2 @t132 @t1) @t1)))) % 0.31/0.94 (assume @p354 (forall (@list @t3 @t177 @t215 @t1) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t177 @t215 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t3 @t177 @t1) @t215 @t1)))) % 0.31/0.94 (assume @p355 (forall (@list @t132 @t53 @t1 @t2) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t132 @t53 @t1) @t2 @t1) (tptp.c_List_Oappend @t132 (tptp.c_List_Oappend @t53 @t2 @t1) @t1)))) % 0.31/0.94 (assume @p356 (forall (@list @t3 @t53 @t200 @t1) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t53 @t200 @t1) @t1) (tptp.c_List_Oappend @t213 @t200 @t1)))) % 0.31/0.94 (assume @p357 (forall @t131 (or @t208 @t423 @t461))) % 0.31/0.94 (assume @p358 (forall @t463 (or @t462 (not (tptp.hBOOL (tptp.hAPP @t240 @t15))) @t45))) % 0.31/0.94 (assume @p359 (forall @t463 (or @t462 (not (tptp.hBOOL (tptp.hAPP @t50 @t15))) (not (tptp.hBOOL (tptp.hAPP @t236 @t14)))))) % 0.31/0.94 (assume @p360 (forall @t276 (or @t112 @t210 @t207))) % 0.31/0.94 (assume @p361 (forall (@list @t44 @t61 @t1 @t16) (or (tptp.c_Wellfounded_Oaccp @t44 @t61 @t1) (not (tptp.hBOOL (tptp.hAPP @t106 @t16))) @t239))) % 0.31/0.94 (assume @p362 (forall @t420 (or @t212 @t207 @t210))) % 0.31/0.94 (assume @p363 (forall (@list @t44 @t16 @t1 @t14) (or @t238 @t45 (not @t242)))) % 0.31/0.94 (assume @p364 (forall (@list @t1 @t14 @t16) (or @t212 @t461 @t423))) % 0.31/0.94 (assume @p365 (forall @t108 (= (tptp.c_Orderings_Oord__class_Omax @t39 @t12 tptp.tc_nat) @t12))) % 0.31/0.94 (assume @p366 (forall @t233 (or @t232 @t230 @t92))) % 0.31/0.94 (assume @p367 (forall @t110 (= @t53 (tptp.hAPP @t156 @t39)))) % 0.31/0.94 (assume @p368 (forall @t108 (= (tptp.hAPP @t85 @t12) @t12))) % 0.31/0.94 (assume @p369 (forall @t413 (= (tptp.hAPP @t37 @t39) @t35))) % 0.31/0.94 (assume @p370 (forall (@list @t183 @t53 @t181 @t185 @t184 @t182 @t1) (or (= (tptp.hAPP @t188 @t39) @t181) @t186))) % 0.31/0.94 (assume @p371 (forall @t429 (or @t126 (= @t464 @t428)))) % 0.31/0.94 (assume @p372 (forall @t429 (or @t126 (= @t418 @t464)))) % 0.31/0.94 (assume @p373 (forall (@list @t1 @t16 @t3) (or @t126 (= @t295 (tptp.hAPP @t18 @t428))))) % 0.31/0.94 (assume @p374 (forall (@list @t466 @t465 @t296) (not (= @t467 @t297)))) % 0.31/0.94 (assume @p375 (forall (@list @t296 @t466 @t465) (not (= @t297 @t467)))) % 0.31/0.94 (assume @p376 (forall (@list @t75 @t67 @t71 @t70 @t149 @t468) (or (not (tptp.hBOOL (tptp.hAPP @t75 (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t149) @t468) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t75 (tptp.hAPP (tptp.hAPP @t71 @t149) @t468)))))) % 0.31/0.94 (assume @p377 (forall (@list @t75 @t67 @t71 @t70 @t466 @t465) (or (not (tptp.hBOOL (tptp.hAPP @t75 (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 @t467 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t75 @t469))))) % 0.31/0.94 (assume @p378 (forall (@list @t66 @t471 @t470) (not (= @t69 @t472)))) % 0.31/0.94 (assume @p379 (forall (@list @t77 @t139 @t160) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t143) @t160) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t379 @t160)) @t473)))) % 0.31/0.94 (assume @p380 (forall @t474 (= (tptp.c_Lambda_OdB_OdB__case @t67 @t71 @t70 @t467 @t1) @t469))) % 0.31/0.94 (assume @p381 (forall @t474 (= (tptp.c_Lambda_OdB_OdB__rec @t67 @t71 @t70 @t467 @t1) (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Lambda_OdB_OdB__rec @t67 @t71 @t70 @t466 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t67 @t71 @t70 @t465 @t1))))) % 0.31/0.94 (assume @p382 (forall (@list @t57 @t77 @t139) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t475 @t77)) (tptp.hAPP @t475 @t139))) @t390))) % 0.31/0.94 (assume @p383 (forall (@list @t77 @t57 @t139) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t142 @t57)) @t476)) @t390))) % 0.31/0.94 (assume @p384 (forall (@list @t12 @t77 @t139 @t160) (= (tptp.c_Lambda_Oliftn @t12 @t143 @t160) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t12 @t77 @t160)) @t290)))) % 0.31/0.94 (assume @p385 (forall @t477 (= (tptp.c_Lambda_Osubstn @t476 @t77 @t160) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t139 @t77 @t160)) (tptp.c_Lambda_Osubstn @t57 @t77 @t160))))) % 0.31/0.94 (assume @p386 (forall (@list @t471 @t470 @t66) (not (= @t472 @t69)))) % 0.31/0.94 (assume @p387 (forall (@list @t139 @t77 @t12) (= (tptp.c_Lambda_Osubstn @t139 @t77 @t12) (tptp.hAPP (tptp.hAPP @t261 (tptp.c_Lambda_Oliftn @t12 @t77 @t39)) @t12)))) % 0.31/0.94 (assume @p388 (forall @t481 (or (not (tptp.c_Wellfounded_Oaccp @t246 @t480 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t246 @t77 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t246 @t479 tptp.tc_Lambda_OdB)))) % 0.31/0.94 (assume @p389 (forall @t484 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t483) @t482)) @t284))) % 0.31/0.94 (assume @p390 (forall (@list @t44 @t11 @t478) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t44 @t11 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t483)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t11 @t478 tptp.tc_Lambda_OdB))))) % 0.31/0.94 (assume @p391 (forall @t481 (or @t487 @t486))) % 0.31/0.94 (assume @p392 (forall (@list @t12 @t200 @t44 @t478) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t13 @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t366 @t478 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.31/0.94 (assume @p393 (forall @t413 (= @t488 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t488 @t485 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.94 (assume @p394 (forall @t249 (= @t366 @t489))) % 0.31/0.94 (assume @p395 (forall (@list @t44 @t77 @t139 @t200) (or (not (= @t490 @t433)) (= @t44 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t139 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t44 @t77 @t139 @t200) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t200 @t485)))) % 0.31/0.94 (assume @p396 (forall @t247 (= @t139 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t139) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t139) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.94 (assume @p397 (forall @t492 (or @t491 @t486))) % 0.31/0.94 (assume @p398 (forall @t249 (= @t489 @t366))) % 0.31/0.94 (assume @p399 (forall @t494 (or @t493 @t486))) % 0.31/0.94 (assume @p400 (forall (@list @t77 @t139 @t12 @t478) (not (= @t496 @t495)))) % 0.31/0.94 (assume @p401 (forall (@list @t394 @t53 @t61 @t132 @t1) (or (= (tptp.c_List_Ofoldl @t394 (tptp.hAPP @t497 @t61) @t132 @t1 @t1) (tptp.hAPP @t497 (tptp.c_List_Ofoldl @t394 @t61 @t132 @t1 @t1))) @t417))) % 0.31/0.94 (assume @p402 (forall (@list @t82 @t16 @t46 @t1) (= (tptp.c_List_Ofoldl @t82 @t16 @t81 @t1 @t46) @t16))) % 0.31/0.94 (assume @p403 (forall (@list @t1 @t53 @t61 @t132) (or @t434 (= (tptp.c_List_Ofoldl @t17 @t167 @t132 @t1 @t1) (tptp.hAPP @t59 (tptp.c_List_Ofoldl @t17 @t61 @t132 @t1 @t1)))))) % 0.31/0.94 (assume @p404 (forall (@list @t394 @t53 @t395 @t132 @t1) (or (= (tptp.hAPP @t497 (tptp.c_List_Ofoldl @t394 @t395 @t132 @t1 @t1)) (tptp.c_List_Ofoldl @t394 @t53 @t132 @t1 @t1)) @t396))) % 0.31/0.94 (assume @p405 (forall (@list @t82 @t16 @t53 @t3 @t46 @t1) (= (tptp.c_List_Ofoldl @t82 @t16 @t151 @t1 @t46) (tptp.c_List_Ofoldl @t82 (tptp.hAPP (tptp.hAPP @t82 @t16) @t53) @t3 @t1 @t46)))) % 0.31/0.94 (assume @p406 (forall (@list @t82 @t16 @t3 @t2 @t46 @t1) (= (tptp.c_List_Ofoldl @t82 @t16 @t277 @t1 @t46) (tptp.c_List_Ofoldl @t82 (tptp.c_List_Ofoldl @t82 @t16 @t3 @t1 @t46) @t2 @t1 @t46)))) % 0.31/0.94 (assume @p407 (forall (@list @t139 @t200 @t57 @t218) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t433) @t57) @t218) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t498 @t404 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.94 (assume @p408 (forall (@list @t160 @t57) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t160)) @t57) @t160) @t57))) % 0.31/0.94 (assume @p409 (forall @t289 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t288) @t286)) @t260))) % 0.31/0.94 (assume @p410 (forall (@list @t139 @t160 @t77) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t473) @t77) @t160) @t139))) % 0.31/0.94 (assume @p411 (forall (@list @t370 @t139 @t369 @t57) (or (tptp.c_Type_Otyping @t370 @t139 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t500) @t369)) @t499))) % 0.31/0.94 (assume @p412 (forall (@list @t370 @t200 @t369 @t218) (or (tptp.c_Type_Otypings @t370 @t200 @t403) @t402))) % 0.31/0.94 (assume @p413 (forall @t504 (or (tptp.c_Type_Otyping @t370 @t139 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t503 @t369 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t502))) % 0.31/0.94 (assume @p414 (forall (@list @t370 @t139 @t200 @t369 @t374) (or @t501 @t375 (not (tptp.c_Type_Otyping @t370 @t139 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t374 @t369 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.31/0.94 (assume @p415 (forall (@list @t370 @t215 @t369 @t377 @t218 @t200 @t374) (or (tptp.c_Type_Otypings @t370 @t215 @t437) @t436 @t375 @t435))) % 0.31/0.94 (assume @p416 (forall @t504 (or (tptp.c_Type_Otyping @t370 @t139 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t505 @t369 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t502))) % 0.31/0.94 (assume @p417 @t506) % 0.31/0.94 (assume @p418 (forall (@list @t370 @t218 @t369) (or (= (tptp.hAPP @t370 @t218) @t369) (not (tptp.c_Type_Otyping @t370 @t221 @t369))))) % 0.31/0.94 (assume @p419 (forall (@list @t507 @t53) (tptp.c_Type_Otyping @t507 @t78 (tptp.hAPP @t507 @t53)))) % 0.31/0.94 (assume @p420 (forall (@list @t370 @t139 @t369) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t370 @t39 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t370 @t139) tptp.tc_Type_Otype) @t139 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t370 @t139)) @t454))) % 0.31/0.94 (assume @p421 (forall (@list @t370 @t369 @t139) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t370 @t39 @t456 tptp.tc_Type_Otype) @t139 @t455) @t454))) % 0.31/0.94 (assume @p422 (forall (@list @t370 @t218 @t369 @t1 @t267) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t370 @t218 @t369 @t1) @t267) (tptp.hAPP @t370 @t267)) @t438))) % 0.31/0.94 (assume @p423 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.31/0.94 (assume @p424 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_a____))) % 0.31/0.94 (assume @p425 (forall @t392 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t496) (tptp.hAPP @t285 @t39))))) % 0.31/0.94 (assume @p426 (forall @t508 (or (tptp.c_Type_Otypings @t370 @t200 @t505) @t502))) % 0.31/0.94 (assume @p427 (forall @t508 (or (tptp.c_Type_Otypings @t370 @t200 @t503) @t502))) % 0.31/0.94 (assume @p428 (forall (@list @t507 @t139 @t369 @t377) (or (tptp.c_Type_Otyping @t507 @t391 @t509) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t507 @t39 @t369 tptp.tc_Type_Otype) @t139 @t377))))) % 0.31/0.94 (assume @p429 (forall @t252 (or @t409 @t408 @t407 @t250 @t510 @t87))) % 0.31/0.94 (assume @p430 (forall @t252 (or @t251 @t250 @t510 @t87))) % 0.31/0.94 (assume @p431 (forall @t301 (or @t409 @t408 @t407 @t250 (not (= (tptp.c_Power_Opower__class_Opower @t16 @t39 @t1) @t125))))) % 0.31/0.94 (assume @p432 (forall @t127 (or @t458 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t39 @t1) @t125)))) % 0.31/0.94 (assume @p433 (forall (@list @t1 @t53 @t132) (or @t126 (= (tptp.hAPP @t59 (tptp.c_List_Ofoldl @t17 @t125 @t132 @t1 @t1)) (tptp.c_List_Ofoldl @t17 @t53 @t132 @t1 @t1))))) % 0.31/0.94 (assume @p434 (forall (@list @t139 @t77) (= (tptp.c_Lambda_Osubstn @t139 @t77 @t39) (tptp.hAPP @t262 @t39)))) % 0.31/0.94 (assume @p435 (forall @t481 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t479)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t77))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t480)))))) % 0.31/0.94 (assume @p436 (forall (@list @t44 @t77) (= @t490 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t490 @t485 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.31/0.94 (assume @p437 (forall @t512 (or @t511 @t159))) % 0.31/0.94 (assume @p438 (forall @t512 (or @t511 @t513))) % 0.31/0.94 (assume @p439 (forall (@list @t44 @t77 @t139) (or (not (= @t490 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t139 @t485 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t490 @t139)))) % 0.31/0.94 (assume @p440 (forall @t492 (or @t491 (= @t77 @t366)))) % 0.31/0.94 (assume @p441 (forall @t516 (or @t515 @t514))) % 0.31/0.94 (assume @p442 (forall @t516 (or @t515 @t513))) % 0.31/0.94 (assume @p443 (forall @t484 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t483) @t482)) @t260))) % 0.31/0.94 (assume @p444 (forall @t494 (or @t493 (= @t488 @t77)))) % 0.31/0.94 (assume @p445 (forall @t481 (or @t487 (= @t366 @t77)))) % 0.31/0.94 (assume @p446 (forall (@list @t507 @t77 @t139 @t377 @t369) (or (tptp.c_Type_Otyping @t507 @t143 @t377) (not (tptp.c_Type_Otyping @t507 @t139 @t369)) (not (tptp.c_Type_Otyping @t507 @t77 @t509))))) % 0.31/0.94 (assume @p447 (forall (@list @t370 @t57 @t369 @t139) (or (tptp.c_Type_Otyping @t370 @t57 @t500) @t499))) % 0.31/0.94 (assume @p448 (forall (@list @t370 @t218 @t377 @t1 @t369) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t370 @t218 @t377 @t1) @t39 @t369 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t370 @t39 @t369 @t1) @t427 @t377 @t1)))) % 0.31/0.94 (assume @p449 (forall @t523 (or @t522 @t520 (not (tptp.c_Type_Otyping @t370 @t57 @t518)) @t519 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t370 @t218 @t518 tptp.tc_Type_Otype) @t139 @t517)) @t245))) % 0.31/0.94 (assume @p450 (forall @t523 (or @t522 @t520 (not (tptp.c_Type_Otyping @t370 @t57 @t521)) @t519 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t370 @t218 @t521 tptp.tc_Type_Otype) @t139 @t517)) @t245))) % 0.31/0.94 (assume @p451 (forall (@list @t370 @t218 @t377 @t139 @t369) (or (tptp.c_Type_Otyping @t378 @t310 @t369) @t371))) % 0.31/0.94 (assume @p452 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t524 tptp.v_T_Ha______)) % 0.31/0.94 (assume @p453 (forall (@list @t369 @t377 @t370 @t218 @t200) (or (= @t369 @t377) @t436 @t402))) % 0.31/0.94 (assume @p454 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.31/0.94 (assume @p455 (forall @t528 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____) @t57) @t218))) @t527 @t519 (not (tptp.c_Type_Otyping @t526 tptp.v_a____ @t525))))) % 0.31/0.94 (assume @p456 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t529))) % 0.31/0.94 (assume @p457 (forall @t528 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t529) @t57) @t218))) @t527 @t519 (not (tptp.c_Type_Otyping @t526 @t529 @t525))))) % 0.31/0.94 (assume @p458 @t531) % 0.31/0.94 (assume @p459 (forall @t477 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t476) @t77) @t160) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t262 @t160)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t57) @t77) @t160))))) % 0.31/0.94 (assume @p460 (forall @t533 (or @t532 (= @t466 @t471)))) % 0.31/0.94 (assume @p461 (forall @t533 (or @t532 (= @t465 @t470)))) % 0.31/0.94 (assume @p462 (forall (@list @t370 @t53 @t369 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t370 @t53 @t369 @t1) @t53) @t369))) % 0.31/0.94 (assume @p463 (forall (@list @t44 @t200 @t77) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t44 @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t77 @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t514))) % 0.31/0.94 (assume @p464 (forall (@list @t534 @t57 @t377 @t218 @t139 @t369) (or (not (tptp.c_Type_Otyping @t534 @t57 @t377)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t534 @t218 @t377 tptp.tc_Type_Otype) @t139 @t369)) (tptp.c_Type_Otyping @t534 @t498 @t369)))) % 0.31/0.94 (assume @p465 @t535) % 0.31/0.94 (assume @p466 (not @t536)) % 0.31/0.94 (assume @p467 (forall @t540 (or (tptp.class_Orderings_Opreorder @t539) (not (tptp.class_Orderings_Opreorder @t537))))) % 0.31/0.94 (assume @p468 (forall @t540 (or (tptp.class_Orderings_Oorder @t539) (not (tptp.class_Orderings_Oorder @t537))))) % 0.31/0.94 (assume @p469 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.31/0.94 (assume @p470 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.31/0.94 (assume @p471 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.31/0.94 (assume @p472 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.31/0.94 (assume @p473 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.31/0.94 (assume @p474 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.31/0.94 (assume @p475 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.31/0.94 (assume @p476 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.31/0.94 (assume @p477 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.31/0.94 (assume @p478 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.31/0.94 (assume @p479 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.31/0.94 (assume @p480 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.31/0.94 (assume @p481 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.31/0.94 (assume @p482 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.31/0.94 (assume @p483 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.31/0.94 (assume @p484 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.31/0.94 (assume @p485 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.31/0.94 (assume @p486 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.31/0.94 (assume @p487 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.31/0.94 (assume @p488 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.31/0.94 (assume @p489 (tptp.class_Power_Opower tptp.tc_nat)) % 0.31/0.94 (assume @p490 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.31/0.94 (assume @p491 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.31/0.94 (assume @p492 (forall @t324 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t318 @t53) @t53)))) % 0.31/0.94 (assume @p493 (forall (@list @t542 @t541 @t1) (or (= @t542 @t541) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t318 @t542) @t541)))))) % 0.31/0.94 (step @p494 :rule cnf_or_pos :args (@t545)) % 0.31/0.94 (step @p495 :rule reordering :premises (@p494) :args ((or @t536 @t543 @t544 @t546))) % 0.31/0.94 (step @p496 :rule chain_m_resolution :premises (@p495 @p466 @p458 @p465) :args (@t546 (@list true false false) (@list @t536 @t531 @t535))) % 0.31/0.94 (assume-push @p503 @t506) % 0.31/0.94 (step @p498 :rule instantiate :premises (@p417) :args ((@list @t530 @t529 tptp.v_T_H____ @t524))) % 0.31/0.94 (step-pop @p504 :rule scope :premises (@p498)) % 0.31/0.94 (step @p499 :rule process_scope :premises (@p504) :args (@t545)) % 0.31/0.94 (step @p501 :rule implies_elim :premises (@p499)) % 0.31/0.94 (step @p502 false :rule chain_m_resolution :premises (@p501 @p496 @p417) :args (false (@list true false) (@list @t545 @t506))) % 0.31/0.94 ) % 0.31/0.94 % SZS output end Proof % 0.31/0.94 % cvc5 exiting %------------------------------------------------------------------------------